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Finding the Fourth Proportional to 9,116.40, 13,674.60 and 7,148.10

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Solution

The fourth proportional to 9,116.40, 13,674.60 and 7,148.10 is: 10,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.40 : 13,674.60 = 7,148.10 : x
  2. Step 2: Convert to fraction form
    9,116.40/13,674.60 = 7,148.10/x
  3. Step 3: Cross multiply
    9,116.40x = 13,674.60 × 7,148.10
  4. Step 4: Simplify right side
    9,116.40x = 97,747,408.26
  5. Step 5: Solve for x
    x = 97,747,408.26/9,116.40
  6. Step 6: Final answer
    x = 10,722.15

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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.