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Finding the Fourth Proportional to 9,117.40, 13,676.10 and 6,017.13

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Solution

The fourth proportional to 9,117.40, 13,676.10 and 6,017.13 is: 9,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.40 : 13,676.10 = 6,017.13 : x
  2. Step 2: Convert to fraction form
    9,117.40/13,676.10 = 6,017.13/x
  3. Step 3: Cross multiply
    9,117.40x = 13,676.10 × 6,017.13
  4. Step 4: Simplify right side
    9,117.40x = 82,290,871.59
  5. Step 5: Solve for x
    x = 82,290,871.59/9,117.40
  6. Step 6: Final answer
    x = 9,025.70

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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.