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Finding the Fourth Proportional to 9,006.86, 13,510.29 and 3,812.78

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Solution

The fourth proportional to 9,006.86, 13,510.29 and 3,812.78 is: 5,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.86 : 13,510.29 = 3,812.78 : x
  2. Step 2: Convert to fraction form
    9,006.86/13,510.29 = 3,812.78/x
  3. Step 3: Cross multiply
    9,006.86x = 13,510.29 × 3,812.78
  4. Step 4: Simplify right side
    9,006.86x = 51,511,763.51
  5. Step 5: Solve for x
    x = 51,511,763.51/9,006.86
  6. Step 6: Final answer
    x = 5,719.17

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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.