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Finding the Fourth Proportional to 9,169, 13,742.10 and 3,319.18

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Solution

The fourth proportional to 9,169, 13,742.10 and 3,319.18 is: 4,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 13,742.10 = 3,319.18 : x
  2. Step 2: Convert to fraction form
    9,169/13,742.10 = 3,319.18/x
  3. Step 3: Cross multiply
    9,169x = 13,742.10 × 3,319.18
  4. Step 4: Simplify right side
    9,169x = 45,612,503.48
  5. Step 5: Solve for x
    x = 45,612,503.48/9,169
  6. Step 6: Final answer
    x = 4,974.64

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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.