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Finding the Fourth Proportional to 9,179.56, 13,752.06 and 4,565.80

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Solution

The fourth proportional to 9,179.56, 13,752.06 and 4,565.80 is: 6,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.56 : 13,752.06 = 4,565.80 : x
  2. Step 2: Convert to fraction form
    9,179.56/13,752.06 = 4,565.80/x
  3. Step 3: Cross multiply
    9,179.56x = 13,752.06 × 4,565.80
  4. Step 4: Simplify right side
    9,179.56x = 62,789,155.55
  5. Step 5: Solve for x
    x = 62,789,155.55/9,179.56
  6. Step 6: Final answer
    x = 6,840.11

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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.