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Finding the Fourth Proportional to 9,894.18, 13,653.84 and 5,645.13

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Solution

The fourth proportional to 9,894.18, 13,653.84 and 5,645.13 is: 7,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.18 : 13,653.84 = 5,645.13 : x
  2. Step 2: Convert to fraction form
    9,894.18/13,653.84 = 5,645.13/x
  3. Step 3: Cross multiply
    9,894.18x = 13,653.84 × 5,645.13
  4. Step 4: Simplify right side
    9,894.18x = 77,077,701.80
  5. Step 5: Solve for x
    x = 77,077,701.80/9,894.18
  6. Step 6: Final answer
    x = 7,790.21

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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.