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Finding the Fourth Proportional to 9,865.95, 13,615.34 and 5,617.37

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Solution

The fourth proportional to 9,865.95, 13,615.34 and 5,617.37 is: 7,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.95 : 13,615.34 = 5,617.37 : x
  2. Step 2: Convert to fraction form
    9,865.95/13,615.34 = 5,617.37/x
  3. Step 3: Cross multiply
    9,865.95x = 13,615.34 × 5,617.37
  4. Step 4: Simplify right side
    9,865.95x = 76,482,306.29
  5. Step 5: Solve for x
    x = 76,482,306.29/9,865.95
  6. Step 6: Final answer
    x = 7,752.15

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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.