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Finding the Fourth Proportional to 10,470.89, 14,453.19 and 6,704.20

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Solution

The fourth proportional to 10,470.89, 14,453.19 and 6,704.20 is: 9,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.89 : 14,453.19 = 6,704.20 : x
  2. Step 2: Convert to fraction form
    10,470.89/14,453.19 = 6,704.20/x
  3. Step 3: Cross multiply
    10,470.89x = 14,453.19 × 6,704.20
  4. Step 4: Simplify right side
    10,470.89x = 96,897,076.40
  5. Step 5: Solve for x
    x = 96,897,076.40/10,470.89
  6. Step 6: Final answer
    x = 9,253.95

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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.