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Finding the Fourth Proportional to 9,538.58, 13,158.78 and 6,182.52

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Solution

The fourth proportional to 9,538.58, 13,158.78 and 6,182.52 is: 8,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.58 : 13,158.78 = 6,182.52 : x
  2. Step 2: Convert to fraction form
    9,538.58/13,158.78 = 6,182.52/x
  3. Step 3: Cross multiply
    9,538.58x = 13,158.78 × 6,182.52
  4. Step 4: Simplify right side
    9,538.58x = 81,354,420.53
  5. Step 5: Solve for x
    x = 81,354,420.53/9,538.58
  6. Step 6: Final answer
    x = 8,528.99

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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.