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Finding the Fourth Proportional to 9,772.86, 14,650.35 and 3,531.42

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Solution

The fourth proportional to 9,772.86, 14,650.35 and 3,531.42 is: 5,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.86 : 14,650.35 = 3,531.42 : x
  2. Step 2: Convert to fraction form
    9,772.86/14,650.35 = 3,531.42/x
  3. Step 3: Cross multiply
    9,772.86x = 14,650.35 × 3,531.42
  4. Step 4: Simplify right side
    9,772.86x = 51,736,539.00
  5. Step 5: Solve for x
    x = 51,736,539.00/9,772.86
  6. Step 6: Final answer
    x = 5,293.90

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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.