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Finding the Fourth Proportional to 9,017.86, 12,440.34 and 5,659

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Solution

The fourth proportional to 9,017.86, 12,440.34 and 5,659 is: 7,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.86 : 12,440.34 = 5,659 : x
  2. Step 2: Convert to fraction form
    9,017.86/12,440.34 = 5,659/x
  3. Step 3: Cross multiply
    9,017.86x = 12,440.34 × 5,659
  4. Step 4: Simplify right side
    9,017.86x = 70,399,884.06
  5. Step 5: Solve for x
    x = 70,399,884.06/9,017.86
  6. Step 6: Final answer
    x = 7,806.72

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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.