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Finding the Fourth Proportional to 9,657.30, 14,486.82 and 3,416.64

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Solution

The fourth proportional to 9,657.30, 14,486.82 and 3,416.64 is: 5,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.30 : 14,486.82 = 3,416.64 : x
  2. Step 2: Convert to fraction form
    9,657.30/14,486.82 = 3,416.64/x
  3. Step 3: Cross multiply
    9,657.30x = 14,486.82 × 3,416.64
  4. Step 4: Simplify right side
    9,657.30x = 49,496,248.68
  5. Step 5: Solve for x
    x = 49,496,248.68/9,657.30
  6. Step 6: Final answer
    x = 5,125.27

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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.