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Finding the Fourth Proportional to 9,735.42, 13,434.87 and 5,259.17

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Solution

The fourth proportional to 9,735.42, 13,434.87 and 5,259.17 is: 7,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.42 : 13,434.87 = 5,259.17 : x
  2. Step 2: Convert to fraction form
    9,735.42/13,434.87 = 5,259.17/x
  3. Step 3: Cross multiply
    9,735.42x = 13,434.87 × 5,259.17
  4. Step 4: Simplify right side
    9,735.42x = 70,656,265.26
  5. Step 5: Solve for x
    x = 70,656,265.26/9,735.42
  6. Step 6: Final answer
    x = 7,257.65

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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.