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Finding the Fourth Proportional to 9,808.40, 13,542.10 and 7,535.69

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Solution

The fourth proportional to 9,808.40, 13,542.10 and 7,535.69 is: 10,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.40 : 13,542.10 = 7,535.69 : x
  2. Step 2: Convert to fraction form
    9,808.40/13,542.10 = 7,535.69/x
  3. Step 3: Cross multiply
    9,808.40x = 13,542.10 × 7,535.69
  4. Step 4: Simplify right side
    9,808.40x = 102,049,074.17
  5. Step 5: Solve for x
    x = 102,049,074.17/9,808.40
  6. Step 6: Final answer
    x = 10,404.26

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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.