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Finding the Fourth Proportional to 9,882.59, 13,630.01 and 7,650.50

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Solution

The fourth proportional to 9,882.59, 13,630.01 and 7,650.50 is: 10,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.59 : 13,630.01 = 7,650.50 : x
  2. Step 2: Convert to fraction form
    9,882.59/13,630.01 = 7,650.50/x
  3. Step 3: Cross multiply
    9,882.59x = 13,630.01 × 7,650.50
  4. Step 4: Simplify right side
    9,882.59x = 104,276,285.10
  5. Step 5: Solve for x
    x = 104,276,285.10/9,882.59
  6. Step 6: Final answer
    x = 10,551.52

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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.