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Finding the Fourth Proportional to 6,909.60, 10,401.72 and 6,297.24

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Solution

The fourth proportional to 6,909.60, 10,401.72 and 6,297.24 is: 9,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.60 : 10,401.72 = 6,297.24 : x
  2. Step 2: Convert to fraction form
    6,909.60/10,401.72 = 6,297.24/x
  3. Step 3: Cross multiply
    6,909.60x = 10,401.72 × 6,297.24
  4. Step 4: Simplify right side
    6,909.60x = 65,502,127.25
  5. Step 5: Solve for x
    x = 65,502,127.25/6,909.60
  6. Step 6: Final answer
    x = 9,479.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.