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Finding the Fourth Proportional to 9,822,673.41, 13,555,697.70 and 5,471,758.53

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Solution

The fourth proportional to 9,822,673.41, 13,555,697.70 and 5,471,758.53 is: 7,551,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822,673.41 : 13,555,697.70 = 5,471,758.53 : x
  2. Step 2: Convert to fraction form
    9,822,673.41/13,555,697.70 = 5,471,758.53/x
  3. Step 3: Cross multiply
    9,822,673.41x = 13,555,697.70 × 5,471,758.53
  4. Step 4: Simplify right side
    9,822,673.41x = 74,173,504,520,076.38
  5. Step 5: Solve for x
    x = 74,173,504,520,076.38/9,822,673.41
  6. Step 6: Final answer
    x = 7,551,254.27

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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.