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Finding the Fourth Proportional to 9,884.34, 13,641.62 and 6,484.20

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Solution

The fourth proportional to 9,884.34, 13,641.62 and 6,484.20 is: 8,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.34 : 13,641.62 = 6,484.20 : x
  2. Step 2: Convert to fraction form
    9,884.34/13,641.62 = 6,484.20/x
  3. Step 3: Cross multiply
    9,884.34x = 13,641.62 × 6,484.20
  4. Step 4: Simplify right side
    9,884.34x = 88,454,992.40
  5. Step 5: Solve for x
    x = 88,454,992.40/9,884.34
  6. Step 6: Final answer
    x = 8,949.00

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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.