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Finding the Fourth Proportional to 9,117.64, 13,678.77 and 2,543.82

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Solution

The fourth proportional to 9,117.64, 13,678.77 and 2,543.82 is: 3,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.64 : 13,678.77 = 2,543.82 : x
  2. Step 2: Convert to fraction form
    9,117.64/13,678.77 = 2,543.82/x
  3. Step 3: Cross multiply
    9,117.64x = 13,678.77 × 2,543.82
  4. Step 4: Simplify right side
    9,117.64x = 34,796,328.70
  5. Step 5: Solve for x
    x = 34,796,328.70/9,117.64
  6. Step 6: Final answer
    x = 3,816.37

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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.