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Finding the Fourth Proportional to 10,292.87, 15,439.01 and 9,684.16

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Solution

The fourth proportional to 10,292.87, 15,439.01 and 9,684.16 is: 14,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.87 : 15,439.01 = 9,684.16 : x
  2. Step 2: Convert to fraction form
    10,292.87/15,439.01 = 9,684.16/x
  3. Step 3: Cross multiply
    10,292.87x = 15,439.01 × 9,684.16
  4. Step 4: Simplify right side
    10,292.87x = 149,513,756.06
  5. Step 5: Solve for x
    x = 149,513,756.06/10,292.87
  6. Step 6: Final answer
    x = 14,525.95

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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.