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Finding the Fourth Proportional to 9,311.52, 13,957.18 and 4,635.02

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Solution

The fourth proportional to 9,311.52, 13,957.18 and 4,635.02 is: 6,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.52 : 13,957.18 = 4,635.02 : x
  2. Step 2: Convert to fraction form
    9,311.52/13,957.18 = 4,635.02/x
  3. Step 3: Cross multiply
    9,311.52x = 13,957.18 × 4,635.02
  4. Step 4: Simplify right side
    9,311.52x = 64,691,831.75
  5. Step 5: Solve for x
    x = 64,691,831.75/9,311.52
  6. Step 6: Final answer
    x = 6,947.50

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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.