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Finding the Fourth Proportional to 9,036.96, 13,538.96 and 6,255.84

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Solution

The fourth proportional to 9,036.96, 13,538.96 and 6,255.84 is: 9,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.96 : 13,538.96 = 6,255.84 : x
  2. Step 2: Convert to fraction form
    9,036.96/13,538.96 = 6,255.84/x
  3. Step 3: Cross multiply
    9,036.96x = 13,538.96 × 6,255.84
  4. Step 4: Simplify right side
    9,036.96x = 84,697,567.53
  5. Step 5: Solve for x
    x = 84,697,567.53/9,036.96
  6. Step 6: Final answer
    x = 9,372.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.