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Finding the Fourth Proportional to 9,863.84, 13,612.32 and 5,615.12

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Solution

The fourth proportional to 9,863.84, 13,612.32 and 5,615.12 is: 7,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.84 : 13,612.32 = 5,615.12 : x
  2. Step 2: Convert to fraction form
    9,863.84/13,612.32 = 5,615.12/x
  3. Step 3: Cross multiply
    9,863.84x = 13,612.32 × 5,615.12
  4. Step 4: Simplify right side
    9,863.84x = 76,434,810.28
  5. Step 5: Solve for x
    x = 76,434,810.28/9,863.84
  6. Step 6: Final answer
    x = 7,748.99

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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.