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Finding the Fourth Proportional to 9,650.88, 14,475.51 and 4,456.76

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Solution

The fourth proportional to 9,650.88, 14,475.51 and 4,456.76 is: 6,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.88 : 14,475.51 = 4,456.76 : x
  2. Step 2: Convert to fraction form
    9,650.88/14,475.51 = 4,456.76/x
  3. Step 3: Cross multiply
    9,650.88x = 14,475.51 × 4,456.76
  4. Step 4: Simplify right side
    9,650.88x = 64,513,801.57
  5. Step 5: Solve for x
    x = 64,513,801.57/9,650.88
  6. Step 6: Final answer
    x = 6,684.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.