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Finding the Fourth Proportional to 9,767.52, 14,657.76 and 4,499.28

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Solution

The fourth proportional to 9,767.52, 14,657.76 and 4,499.28 is: 6,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.52 : 14,657.76 = 4,499.28 : x
  2. Step 2: Convert to fraction form
    9,767.52/14,657.76 = 4,499.28/x
  3. Step 3: Cross multiply
    9,767.52x = 14,657.76 × 4,499.28
  4. Step 4: Simplify right side
    9,767.52x = 65,949,366.41
  5. Step 5: Solve for x
    x = 65,949,366.41/9,767.52
  6. Step 6: Final answer
    x = 6,751.90

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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.