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Finding the Fourth Proportional to 9,638.59, 13,297.93 and 5,860.57

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Solution

The fourth proportional to 9,638.59, 13,297.93 and 5,860.57 is: 8,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.59 : 13,297.93 = 5,860.57 : x
  2. Step 2: Convert to fraction form
    9,638.59/13,297.93 = 5,860.57/x
  3. Step 3: Cross multiply
    9,638.59x = 13,297.93 × 5,860.57
  4. Step 4: Simplify right side
    9,638.59x = 77,933,449.62
  5. Step 5: Solve for x
    x = 77,933,449.62/9,638.59
  6. Step 6: Final answer
    x = 8,085.57

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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.