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Finding the Fourth Proportional to 9,658.14, 14,490.10 and 5,551.26

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Solution

The fourth proportional to 9,658.14, 14,490.10 and 5,551.26 is: 8,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.14 : 14,490.10 = 5,551.26 : x
  2. Step 2: Convert to fraction form
    9,658.14/14,490.10 = 5,551.26/x
  3. Step 3: Cross multiply
    9,658.14x = 14,490.10 × 5,551.26
  4. Step 4: Simplify right side
    9,658.14x = 80,438,312.53
  5. Step 5: Solve for x
    x = 80,438,312.53/9,658.14
  6. Step 6: Final answer
    x = 8,328.55

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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.