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Finding the Fourth Proportional to 9,159.20, 13,656.50 and 8,377.25

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Solution

The fourth proportional to 9,159.20, 13,656.50 and 8,377.25 is: 12,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.20 : 13,656.50 = 8,377.25 : x
  2. Step 2: Convert to fraction form
    9,159.20/13,656.50 = 8,377.25/x
  3. Step 3: Cross multiply
    9,159.20x = 13,656.50 × 8,377.25
  4. Step 4: Simplify right side
    9,159.20x = 114,403,969.71
  5. Step 5: Solve for x
    x = 114,403,969.71/9,159.20
  6. Step 6: Final answer
    x = 12,490.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.