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Finding the Fourth Proportional to 9,773.87, 13,489.74 and 5,582.12

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Solution

The fourth proportional to 9,773.87, 13,489.74 and 5,582.12 is: 7,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.87 : 13,489.74 = 5,582.12 : x
  2. Step 2: Convert to fraction form
    9,773.87/13,489.74 = 5,582.12/x
  3. Step 3: Cross multiply
    9,773.87x = 13,489.74 × 5,582.12
  4. Step 4: Simplify right side
    9,773.87x = 75,301,280.00
  5. Step 5: Solve for x
    x = 75,301,280.00/9,773.87
  6. Step 6: Final answer
    x = 7,704.35

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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.