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Finding the Fourth Proportional to 9,652.40, 14,478.50 and 7,716.86

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Solution

The fourth proportional to 9,652.40, 14,478.50 and 7,716.86 is: 11,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.40 : 14,478.50 = 7,716.86 : x
  2. Step 2: Convert to fraction form
    9,652.40/14,478.50 = 7,716.86/x
  3. Step 3: Cross multiply
    9,652.40x = 14,478.50 × 7,716.86
  4. Step 4: Simplify right side
    9,652.40x = 111,728,557.51
  5. Step 5: Solve for x
    x = 111,728,557.51/9,652.40
  6. Step 6: Final answer
    x = 11,575.21

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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.