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Finding the Fourth Proportional to 9,165.40, 13,748.10 and 3,319.90

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Solution

The fourth proportional to 9,165.40, 13,748.10 and 3,319.90 is: 4,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.40 : 13,748.10 = 3,319.90 : x
  2. Step 2: Convert to fraction form
    9,165.40/13,748.10 = 3,319.90/x
  3. Step 3: Cross multiply
    9,165.40x = 13,748.10 × 3,319.90
  4. Step 4: Simplify right side
    9,165.40x = 45,642,317.19
  5. Step 5: Solve for x
    x = 45,642,317.19/9,165.40
  6. Step 6: Final answer
    x = 4,979.85

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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.