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Finding the Fourth Proportional to 9,332.64, 13,957.20 and 8,299.08

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Solution

The fourth proportional to 9,332.64, 13,957.20 and 8,299.08 is: 12,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.64 : 13,957.20 = 8,299.08 : x
  2. Step 2: Convert to fraction form
    9,332.64/13,957.20 = 8,299.08/x
  3. Step 3: Cross multiply
    9,332.64x = 13,957.20 × 8,299.08
  4. Step 4: Simplify right side
    9,332.64x = 115,831,919.38
  5. Step 5: Solve for x
    x = 115,831,919.38/9,332.64
  6. Step 6: Final answer
    x = 12,411.48

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Why These Related Problems?

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