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Finding the Fourth Proportional to 9,715.64, 14,544.78 and 6,587.48

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Solution

The fourth proportional to 9,715.64, 14,544.78 and 6,587.48 is: 9,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.64 : 14,544.78 = 6,587.48 : x
  2. Step 2: Convert to fraction form
    9,715.64/14,544.78 = 6,587.48/x
  3. Step 3: Cross multiply
    9,715.64x = 14,544.78 × 6,587.48
  4. Step 4: Simplify right side
    9,715.64x = 95,813,447.35
  5. Step 5: Solve for x
    x = 95,813,447.35/9,715.64
  6. Step 6: Final answer
    x = 9,861.77

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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.