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Finding the Fourth Proportional to 7,969.22, 10,997.93 and 4,432.50

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Solution

The fourth proportional to 7,969.22, 10,997.93 and 4,432.50 is: 6,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.22 : 10,997.93 = 4,432.50 : x
  2. Step 2: Convert to fraction form
    7,969.22/10,997.93 = 4,432.50/x
  3. Step 3: Cross multiply
    7,969.22x = 10,997.93 × 4,432.50
  4. Step 4: Simplify right side
    7,969.22x = 48,748,324.73
  5. Step 5: Solve for x
    x = 48,748,324.73/7,969.22
  6. Step 6: Final answer
    x = 6,117.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.