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Finding the Fourth Proportional to 9,894.48, 13,655.68 and 5,644.57

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Solution

The fourth proportional to 9,894.48, 13,655.68 and 5,644.57 is: 7,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.48 : 13,655.68 = 5,644.57 : x
  2. Step 2: Convert to fraction form
    9,894.48/13,655.68 = 5,644.57/x
  3. Step 3: Cross multiply
    9,894.48x = 13,655.68 × 5,644.57
  4. Step 4: Simplify right side
    9,894.48x = 77,080,441.66
  5. Step 5: Solve for x
    x = 77,080,441.66/9,894.48
  6. Step 6: Final answer
    x = 7,790.25

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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.