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Finding the Fourth Proportional to 6,295.72, 9,407.57 and 4,532.20

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Solution

The fourth proportional to 6,295.72, 9,407.57 and 4,532.20 is: 6,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.72 : 9,407.57 = 4,532.20 : x
  2. Step 2: Convert to fraction form
    6,295.72/9,407.57 = 4,532.20/x
  3. Step 3: Cross multiply
    6,295.72x = 9,407.57 × 4,532.20
  4. Step 4: Simplify right side
    6,295.72x = 42,636,988.75
  5. Step 5: Solve for x
    x = 42,636,988.75/6,295.72
  6. Step 6: Final answer
    x = 6,772.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.