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Finding the Fourth Proportional to 9,781.29, 13,509.25 and 6,589.04

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Solution

The fourth proportional to 9,781.29, 13,509.25 and 6,589.04 is: 9,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.29 : 13,509.25 = 6,589.04 : x
  2. Step 2: Convert to fraction form
    9,781.29/13,509.25 = 6,589.04/x
  3. Step 3: Cross multiply
    9,781.29x = 13,509.25 × 6,589.04
  4. Step 4: Simplify right side
    9,781.29x = 89,012,904.60
  5. Step 5: Solve for x
    x = 89,012,904.60/9,781.29
  6. Step 6: Final answer
    x = 9,100.32

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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.