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Finding the Fourth Proportional to 9,437.78, 13,024.08 and 5,246

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Solution

The fourth proportional to 9,437.78, 13,024.08 and 5,246 is: 7,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.78 : 13,024.08 = 5,246 : x
  2. Step 2: Convert to fraction form
    9,437.78/13,024.08 = 5,246/x
  3. Step 3: Cross multiply
    9,437.78x = 13,024.08 × 5,246
  4. Step 4: Simplify right side
    9,437.78x = 68,324,323.68
  5. Step 5: Solve for x
    x = 68,324,323.68/9,437.78
  6. Step 6: Final answer
    x = 7,239.45

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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.