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Finding the Fourth Proportional to 9,902.52, 13,662.50 and 8,656.20

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Solution

The fourth proportional to 9,902.52, 13,662.50 and 8,656.20 is: 11,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.52 : 13,662.50 = 8,656.20 : x
  2. Step 2: Convert to fraction form
    9,902.52/13,662.50 = 8,656.20/x
  3. Step 3: Cross multiply
    9,902.52x = 13,662.50 × 8,656.20
  4. Step 4: Simplify right side
    9,902.52x = 118,265,332.50
  5. Step 5: Solve for x
    x = 118,265,332.50/9,902.52
  6. Step 6: Final answer
    x = 11,942.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.