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Finding the Fourth Proportional to 9,490,978.38, 13,097,476.44 and 5,139,963.78

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Solution

The fourth proportional to 9,490,978.38, 13,097,476.44 and 5,139,963.78 is: 7,093,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490,978.38 : 13,097,476.44 = 5,139,963.78 : x
  2. Step 2: Convert to fraction form
    9,490,978.38/13,097,476.44 = 5,139,963.78/x
  3. Step 3: Cross multiply
    9,490,978.38x = 13,097,476.44 × 5,139,963.78
  4. Step 4: Simplify right side
    9,490,978.38x = 67,320,554,511,003.34
  5. Step 5: Solve for x
    x = 67,320,554,511,003.34/9,490,978.38
  6. Step 6: Final answer
    x = 7,093,110.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.