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Finding the Fourth Proportional to 9,006.66, 12,428.16 and 5,027.64

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Solution

The fourth proportional to 9,006.66, 12,428.16 and 5,027.64 is: 6,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.66 : 12,428.16 = 5,027.64 : x
  2. Step 2: Convert to fraction form
    9,006.66/12,428.16 = 5,027.64/x
  3. Step 3: Cross multiply
    9,006.66x = 12,428.16 × 5,027.64
  4. Step 4: Simplify right side
    9,006.66x = 62,484,314.34
  5. Step 5: Solve for x
    x = 62,484,314.34/9,006.66
  6. Step 6: Final answer
    x = 6,937.57

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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.