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Finding the Fourth Proportional to 6,345.57, 9,509.12 and 4,500.28

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Solution

The fourth proportional to 6,345.57, 9,509.12 and 4,500.28 is: 6,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.57 : 9,509.12 = 4,500.28 : x
  2. Step 2: Convert to fraction form
    6,345.57/9,509.12 = 4,500.28/x
  3. Step 3: Cross multiply
    6,345.57x = 9,509.12 × 4,500.28
  4. Step 4: Simplify right side
    6,345.57x = 42,793,748.22
  5. Step 5: Solve for x
    x = 42,793,748.22/6,345.57
  6. Step 6: Final answer
    x = 6,743.88

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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.