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Finding the Fourth Proportional to 9,642.60, 14,444.70 and 5,252.20

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Solution

The fourth proportional to 9,642.60, 14,444.70 and 5,252.20 is: 7,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.60 : 14,444.70 = 5,252.20 : x
  2. Step 2: Convert to fraction form
    9,642.60/14,444.70 = 5,252.20/x
  3. Step 3: Cross multiply
    9,642.60x = 14,444.70 × 5,252.20
  4. Step 4: Simplify right side
    9,642.60x = 75,866,453.34
  5. Step 5: Solve for x
    x = 75,866,453.34/9,642.60
  6. Step 6: Final answer
    x = 7,867.84

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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.