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Finding the Fourth Proportional to 7,012.40, 9,670.20 and 5,439.92

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Solution

The fourth proportional to 7,012.40, 9,670.20 and 5,439.92 is: 7,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.40 : 9,670.20 = 5,439.92 : x
  2. Step 2: Convert to fraction form
    7,012.40/9,670.20 = 5,439.92/x
  3. Step 3: Cross multiply
    7,012.40x = 9,670.20 × 5,439.92
  4. Step 4: Simplify right side
    7,012.40x = 52,605,114.38
  5. Step 5: Solve for x
    x = 52,605,114.38/7,012.40
  6. Step 6: Final answer
    x = 7,501.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.