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Finding the Fourth Proportional to 6,295.92, 9,437.76 and 3,008.16

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Solution

The fourth proportional to 6,295.92, 9,437.76 and 3,008.16 is: 4,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.92 : 9,437.76 = 3,008.16 : x
  2. Step 2: Convert to fraction form
    6,295.92/9,437.76 = 3,008.16/x
  3. Step 3: Cross multiply
    6,295.92x = 9,437.76 × 3,008.16
  4. Step 4: Simplify right side
    6,295.92x = 28,390,292.12
  5. Step 5: Solve for x
    x = 28,390,292.12/6,295.92
  6. Step 6: Final answer
    x = 4,509.32

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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.