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Finding the Fourth Proportional to 9,659.89, 13,337.06 and 7,417.71

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Solution

The fourth proportional to 9,659.89, 13,337.06 and 7,417.71 is: 10,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.89 : 13,337.06 = 7,417.71 : x
  2. Step 2: Convert to fraction form
    9,659.89/13,337.06 = 7,417.71/x
  3. Step 3: Cross multiply
    9,659.89x = 13,337.06 × 7,417.71
  4. Step 4: Simplify right side
    9,659.89x = 98,930,406.24
  5. Step 5: Solve for x
    x = 98,930,406.24/9,659.89
  6. Step 6: Final answer
    x = 10,241.36

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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.