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Finding the Fourth Proportional to 9,117.17, 13,676.04 and 2,877.24

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Solution

The fourth proportional to 9,117.17, 13,676.04 and 2,877.24 is: 4,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.17 : 13,676.04 = 2,877.24 : x
  2. Step 2: Convert to fraction form
    9,117.17/13,676.04 = 2,877.24/x
  3. Step 3: Cross multiply
    9,117.17x = 13,676.04 × 2,877.24
  4. Step 4: Simplify right side
    9,117.17x = 39,349,249.33
  5. Step 5: Solve for x
    x = 39,349,249.33/9,117.17
  6. Step 6: Final answer
    x = 4,315.95

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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.