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Finding the Fourth Proportional to 6,038.74, 9,068.24 and 5,726.89

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Solution

The fourth proportional to 6,038.74, 9,068.24 and 5,726.89 is: 8,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.74 : 9,068.24 = 5,726.89 : x
  2. Step 2: Convert to fraction form
    6,038.74/9,068.24 = 5,726.89/x
  3. Step 3: Cross multiply
    6,038.74x = 9,068.24 × 5,726.89
  4. Step 4: Simplify right side
    6,038.74x = 51,932,812.97
  5. Step 5: Solve for x
    x = 51,932,812.97/6,038.74
  6. Step 6: Final answer
    x = 8,599.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.