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Finding the Fourth Proportional to 9,721.95, 14,585.21 and 3,148.12

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Solution

The fourth proportional to 9,721.95, 14,585.21 and 3,148.12 is: 4,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.95 : 14,585.21 = 3,148.12 : x
  2. Step 2: Convert to fraction form
    9,721.95/14,585.21 = 3,148.12/x
  3. Step 3: Cross multiply
    9,721.95x = 14,585.21 × 3,148.12
  4. Step 4: Simplify right side
    9,721.95x = 45,915,941.27
  5. Step 5: Solve for x
    x = 45,915,941.27/9,721.95
  6. Step 6: Final answer
    x = 4,722.92

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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.