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Finding the Fourth Proportional to 9,006.98, 12,428.34 and 5,028

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Solution

The fourth proportional to 9,006.98, 12,428.34 and 5,028 is: 6,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.98 : 12,428.34 = 5,028 : x
  2. Step 2: Convert to fraction form
    9,006.98/12,428.34 = 5,028/x
  3. Step 3: Cross multiply
    9,006.98x = 12,428.34 × 5,028
  4. Step 4: Simplify right side
    9,006.98x = 62,489,693.52
  5. Step 5: Solve for x
    x = 62,489,693.52/9,006.98
  6. Step 6: Final answer
    x = 6,937.92

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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.