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Finding the Fourth Proportional to 9,117.95, 13,697.60 and 7,872.39

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Solution

The fourth proportional to 9,117.95, 13,697.60 and 7,872.39 is: 11,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.95 : 13,697.60 = 7,872.39 : x
  2. Step 2: Convert to fraction form
    9,117.95/13,697.60 = 7,872.39/x
  3. Step 3: Cross multiply
    9,117.95x = 13,697.60 × 7,872.39
  4. Step 4: Simplify right side
    9,117.95x = 107,832,809.90
  5. Step 5: Solve for x
    x = 107,832,809.90/9,117.95
  6. Step 6: Final answer
    x = 11,826.44

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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.