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Finding the Fourth Proportional to 9,658.61, 14,486.19 and 4,392.38

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Solution

The fourth proportional to 9,658.61, 14,486.19 and 4,392.38 is: 6,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.61 : 14,486.19 = 4,392.38 : x
  2. Step 2: Convert to fraction form
    9,658.61/14,486.19 = 4,392.38/x
  3. Step 3: Cross multiply
    9,658.61x = 14,486.19 × 4,392.38
  4. Step 4: Simplify right side
    9,658.61x = 63,628,778.80
  5. Step 5: Solve for x
    x = 63,628,778.80/9,658.61
  6. Step 6: Final answer
    x = 6,587.78

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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.