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Finding the Fourth Proportional to 9,867.06, 13,613.07 and 5,617.56

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Solution

The fourth proportional to 9,867.06, 13,613.07 and 5,617.56 is: 7,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.06 : 13,613.07 = 5,617.56 : x
  2. Step 2: Convert to fraction form
    9,867.06/13,613.07 = 5,617.56/x
  3. Step 3: Cross multiply
    9,867.06x = 13,613.07 × 5,617.56
  4. Step 4: Simplify right side
    9,867.06x = 76,472,237.51
  5. Step 5: Solve for x
    x = 76,472,237.51/9,867.06
  6. Step 6: Final answer
    x = 7,750.26

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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.