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Finding the Fourth Proportional to 9,701.20, 14,551.80 and 5,764.60

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Solution

The fourth proportional to 9,701.20, 14,551.80 and 5,764.60 is: 8,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.20 : 14,551.80 = 5,764.60 : x
  2. Step 2: Convert to fraction form
    9,701.20/14,551.80 = 5,764.60/x
  3. Step 3: Cross multiply
    9,701.20x = 14,551.80 × 5,764.60
  4. Step 4: Simplify right side
    9,701.20x = 83,885,306.28
  5. Step 5: Solve for x
    x = 83,885,306.28/9,701.20
  6. Step 6: Final answer
    x = 8,646.90

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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.