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Finding the Fourth Proportional to 9,416.05, 14,126.67 and 7,656.69

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Solution

The fourth proportional to 9,416.05, 14,126.67 and 7,656.69 is: 11,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.05 : 14,126.67 = 7,656.69 : x
  2. Step 2: Convert to fraction form
    9,416.05/14,126.67 = 7,656.69/x
  3. Step 3: Cross multiply
    9,416.05x = 14,126.67 × 7,656.69
  4. Step 4: Simplify right side
    9,416.05x = 108,163,585.90
  5. Step 5: Solve for x
    x = 108,163,585.90/9,416.05
  6. Step 6: Final answer
    x = 11,487.15

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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.