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Finding the Fourth Proportional to 6,468.16, 9,707.28 and 4,507.60

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Solution

The fourth proportional to 6,468.16, 9,707.28 and 4,507.60 is: 6,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.16 : 9,707.28 = 4,507.60 : x
  2. Step 2: Convert to fraction form
    6,468.16/9,707.28 = 4,507.60/x
  3. Step 3: Cross multiply
    6,468.16x = 9,707.28 × 4,507.60
  4. Step 4: Simplify right side
    6,468.16x = 43,756,535.33
  5. Step 5: Solve for x
    x = 43,756,535.33/6,468.16
  6. Step 6: Final answer
    x = 6,764.91

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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.