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Finding the Fourth Proportional to 6,514.38, 9,762.93 and 5,373.90

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Solution

The fourth proportional to 6,514.38, 9,762.93 and 5,373.90 is: 8,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.38 : 9,762.93 = 5,373.90 : x
  2. Step 2: Convert to fraction form
    6,514.38/9,762.93 = 5,373.90/x
  3. Step 3: Cross multiply
    6,514.38x = 9,762.93 × 5,373.90
  4. Step 4: Simplify right side
    6,514.38x = 52,465,009.53
  5. Step 5: Solve for x
    x = 52,465,009.53/6,514.38
  6. Step 6: Final answer
    x = 8,053.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.