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Finding the Fourth Proportional to 9,117.10, 13,667.55 and 5,415.40

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Solution

The fourth proportional to 9,117.10, 13,667.55 and 5,415.40 is: 8,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.10 : 13,667.55 = 5,415.40 : x
  2. Step 2: Convert to fraction form
    9,117.10/13,667.55 = 5,415.40/x
  3. Step 3: Cross multiply
    9,117.10x = 13,667.55 × 5,415.40
  4. Step 4: Simplify right side
    9,117.10x = 74,015,250.27
  5. Step 5: Solve for x
    x = 74,015,250.27/9,117.10
  6. Step 6: Final answer
    x = 8,118.29

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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.