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Finding the Fourth Proportional to 9,722.48, 14,580.65 and 3,147.30

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Solution

The fourth proportional to 9,722.48, 14,580.65 and 3,147.30 is: 4,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.48 : 14,580.65 = 3,147.30 : x
  2. Step 2: Convert to fraction form
    9,722.48/14,580.65 = 3,147.30/x
  3. Step 3: Cross multiply
    9,722.48x = 14,580.65 × 3,147.30
  4. Step 4: Simplify right side
    9,722.48x = 45,889,687.61
  5. Step 5: Solve for x
    x = 45,889,687.61/9,722.48
  6. Step 6: Final answer
    x = 4,719.96

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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.