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Finding the Fourth Proportional to 9,614.60, 13,259.87 and 6,256.19

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Solution

The fourth proportional to 9,614.60, 13,259.87 and 6,256.19 is: 8,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.60 : 13,259.87 = 6,256.19 : x
  2. Step 2: Convert to fraction form
    9,614.60/13,259.87 = 6,256.19/x
  3. Step 3: Cross multiply
    9,614.60x = 13,259.87 × 6,256.19
  4. Step 4: Simplify right side
    9,614.60x = 82,956,234.81
  5. Step 5: Solve for x
    x = 82,956,234.81/9,614.60
  6. Step 6: Final answer
    x = 8,628.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.