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Finding the Fourth Proportional to 9,115.70, 13,666.05 and 4,118.40

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Solution

The fourth proportional to 9,115.70, 13,666.05 and 4,118.40 is: 6,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.70 : 13,666.05 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    9,115.70/13,666.05 = 4,118.40/x
  3. Step 3: Cross multiply
    9,115.70x = 13,666.05 × 4,118.40
  4. Step 4: Simplify right side
    9,115.70x = 56,282,260.32
  5. Step 5: Solve for x
    x = 56,282,260.32/9,115.70
  6. Step 6: Final answer
    x = 6,174.21

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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.