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Finding the Fourth Proportional to 9,658.30, 14,488.32 and 3,417.64

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Solution

The fourth proportional to 9,658.30, 14,488.32 and 3,417.64 is: 5,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.30 : 14,488.32 = 3,417.64 : x
  2. Step 2: Convert to fraction form
    9,658.30/14,488.32 = 3,417.64/x
  3. Step 3: Cross multiply
    9,658.30x = 14,488.32 × 3,417.64
  4. Step 4: Simplify right side
    9,658.30x = 49,515,861.96
  5. Step 5: Solve for x
    x = 49,515,861.96/9,658.30
  6. Step 6: Final answer
    x = 5,126.77

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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.