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Finding the Fourth Proportional to 9,757.80, 13,462.44 and 5,508.36

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Solution

The fourth proportional to 9,757.80, 13,462.44 and 5,508.36 is: 7,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.80 : 13,462.44 = 5,508.36 : x
  2. Step 2: Convert to fraction form
    9,757.80/13,462.44 = 5,508.36/x
  3. Step 3: Cross multiply
    9,757.80x = 13,462.44 × 5,508.36
  4. Step 4: Simplify right side
    9,757.80x = 74,155,966.00
  5. Step 5: Solve for x
    x = 74,155,966.00/9,757.80
  6. Step 6: Final answer
    x = 7,599.66

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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.