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Finding the Fourth Proportional to 9,695.52, 14,543.28 and 3,122.22

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Solution

The fourth proportional to 9,695.52, 14,543.28 and 3,122.22 is: 4,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.52 : 14,543.28 = 3,122.22 : x
  2. Step 2: Convert to fraction form
    9,695.52/14,543.28 = 3,122.22/x
  3. Step 3: Cross multiply
    9,695.52x = 14,543.28 × 3,122.22
  4. Step 4: Simplify right side
    9,695.52x = 45,407,319.68
  5. Step 5: Solve for x
    x = 45,407,319.68/9,695.52
  6. Step 6: Final answer
    x = 4,683.33

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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.