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Finding the Fourth Proportional to 9,774.87, 13,489.16 and 5,525.87

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Solution

The fourth proportional to 9,774.87, 13,489.16 and 5,525.87 is: 7,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.87 : 13,489.16 = 5,525.87 : x
  2. Step 2: Convert to fraction form
    9,774.87/13,489.16 = 5,525.87/x
  3. Step 3: Cross multiply
    9,774.87x = 13,489.16 × 5,525.87
  4. Step 4: Simplify right side
    9,774.87x = 74,539,249.49
  5. Step 5: Solve for x
    x = 74,539,249.49/9,774.87
  6. Step 6: Final answer
    x = 7,625.60

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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.