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Finding the Fourth Proportional to 9,658.77, 14,489.29 and 3,417.48

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Solution

The fourth proportional to 9,658.77, 14,489.29 and 3,417.48 is: 5,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.77 : 14,489.29 = 3,417.48 : x
  2. Step 2: Convert to fraction form
    9,658.77/14,489.29 = 3,417.48/x
  3. Step 3: Cross multiply
    9,658.77x = 14,489.29 × 3,417.48
  4. Step 4: Simplify right side
    9,658.77x = 49,516,777.80
  5. Step 5: Solve for x
    x = 49,516,777.80/9,658.77
  6. Step 6: Final answer
    x = 5,126.62

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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.