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Finding the Fourth Proportional to 6,475.60, 9,727.80 and 6,302.80

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Solution

The fourth proportional to 6,475.60, 9,727.80 and 6,302.80 is: 9,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.60 : 9,727.80 = 6,302.80 : x
  2. Step 2: Convert to fraction form
    6,475.60/9,727.80 = 6,302.80/x
  3. Step 3: Cross multiply
    6,475.60x = 9,727.80 × 6,302.80
  4. Step 4: Simplify right side
    6,475.60x = 61,312,377.84
  5. Step 5: Solve for x
    x = 61,312,377.84/6,475.60
  6. Step 6: Final answer
    x = 9,468.22

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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.