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Finding the Fourth Proportional to 9,378.48, 12,938.60 and 6,020.76

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Solution

The fourth proportional to 9,378.48, 12,938.60 and 6,020.76 is: 8,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.48 : 12,938.60 = 6,020.76 : x
  2. Step 2: Convert to fraction form
    9,378.48/12,938.60 = 6,020.76/x
  3. Step 3: Cross multiply
    9,378.48x = 12,938.60 × 6,020.76
  4. Step 4: Simplify right side
    9,378.48x = 77,900,205.34
  5. Step 5: Solve for x
    x = 77,900,205.34/9,378.48
  6. Step 6: Final answer
    x = 8,306.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.