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Finding the Fourth Proportional to 6,502.40, 9,762.60 and 4,176.80

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Solution

The fourth proportional to 6,502.40, 9,762.60 and 4,176.80 is: 6,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.40 : 9,762.60 = 4,176.80 : x
  2. Step 2: Convert to fraction form
    6,502.40/9,762.60 = 4,176.80/x
  3. Step 3: Cross multiply
    6,502.40x = 9,762.60 × 4,176.80
  4. Step 4: Simplify right side
    6,502.40x = 40,776,427.68
  5. Step 5: Solve for x
    x = 40,776,427.68/6,502.40
  6. Step 6: Final answer
    x = 6,270.98

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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.