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Finding the Fourth Proportional to 6,301.72, 9,429.90 and 5,070.52

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Solution

The fourth proportional to 6,301.72, 9,429.90 and 5,070.52 is: 7,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.72 : 9,429.90 = 5,070.52 : x
  2. Step 2: Convert to fraction form
    6,301.72/9,429.90 = 5,070.52/x
  3. Step 3: Cross multiply
    6,301.72x = 9,429.90 × 5,070.52
  4. Step 4: Simplify right side
    6,301.72x = 47,814,496.55
  5. Step 5: Solve for x
    x = 47,814,496.55/6,301.72
  6. Step 6: Final answer
    x = 7,587.53

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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.