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Finding the Fourth Proportional to 9,863.81, 13,612.30 and 5,387.51

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Solution

The fourth proportional to 9,863.81, 13,612.30 and 5,387.51 is: 7,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.81 : 13,612.30 = 5,387.51 : x
  2. Step 2: Convert to fraction form
    9,863.81/13,612.30 = 5,387.51/x
  3. Step 3: Cross multiply
    9,863.81x = 13,612.30 × 5,387.51
  4. Step 4: Simplify right side
    9,863.81x = 73,336,334.31
  5. Step 5: Solve for x
    x = 73,336,334.31/9,863.81
  6. Step 6: Final answer
    x = 7,434.89

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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.