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Finding the Fourth Proportional to 6,357.69, 9,535.28 and 5,132.25

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Solution

The fourth proportional to 6,357.69, 9,535.28 and 5,132.25 is: 7,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.69 : 9,535.28 = 5,132.25 : x
  2. Step 2: Convert to fraction form
    6,357.69/9,535.28 = 5,132.25/x
  3. Step 3: Cross multiply
    6,357.69x = 9,535.28 × 5,132.25
  4. Step 4: Simplify right side
    6,357.69x = 48,937,415.12
  5. Step 5: Solve for x
    x = 48,937,415.12/6,357.69
  6. Step 6: Final answer
    x = 7,697.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.