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Finding the Fourth Proportional to 9,065.47, 13,598.36 and 2,491.62

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Solution

The fourth proportional to 9,065.47, 13,598.36 and 2,491.62 is: 3,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.47 : 13,598.36 = 2,491.62 : x
  2. Step 2: Convert to fraction form
    9,065.47/13,598.36 = 2,491.62/x
  3. Step 3: Cross multiply
    9,065.47x = 13,598.36 × 2,491.62
  4. Step 4: Simplify right side
    9,065.47x = 33,881,945.74
  5. Step 5: Solve for x
    x = 33,881,945.74/9,065.47
  6. Step 6: Final answer
    x = 3,737.47

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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.