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Finding the Fourth Proportional to 9,884.84, 13,641.10 and 5,693.10

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Solution

The fourth proportional to 9,884.84, 13,641.10 and 5,693.10 is: 7,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.84 : 13,641.10 = 5,693.10 : x
  2. Step 2: Convert to fraction form
    9,884.84/13,641.10 = 5,693.10/x
  3. Step 3: Cross multiply
    9,884.84x = 13,641.10 × 5,693.10
  4. Step 4: Simplify right side
    9,884.84x = 77,660,146.41
  5. Step 5: Solve for x
    x = 77,660,146.41/9,884.84
  6. Step 6: Final answer
    x = 7,856.49

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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.