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Finding the Fourth Proportional to 9,005.78, 12,428.03 and 5,027.10

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Solution

The fourth proportional to 9,005.78, 12,428.03 and 5,027.10 is: 6,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.78 : 12,428.03 = 5,027.10 : x
  2. Step 2: Convert to fraction form
    9,005.78/12,428.03 = 5,027.10/x
  3. Step 3: Cross multiply
    9,005.78x = 12,428.03 × 5,027.10
  4. Step 4: Simplify right side
    9,005.78x = 62,476,915.58
  5. Step 5: Solve for x
    x = 62,476,915.58/9,005.78
  6. Step 6: Final answer
    x = 6,937.42

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