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Finding the Fourth Proportional to 9,859.08, 14,781.32 and 4,658.88

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Solution

The fourth proportional to 9,859.08, 14,781.32 and 4,658.88 is: 6,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.08 : 14,781.32 = 4,658.88 : x
  2. Step 2: Convert to fraction form
    9,859.08/14,781.32 = 4,658.88/x
  3. Step 3: Cross multiply
    9,859.08x = 14,781.32 × 4,658.88
  4. Step 4: Simplify right side
    9,859.08x = 68,864,396.12
  5. Step 5: Solve for x
    x = 68,864,396.12/9,859.08
  6. Step 6: Final answer
    x = 6,984.87

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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.