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Finding the Fourth Proportional to 9,117.78, 12,582.57 and 5,343.18

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Solution

The fourth proportional to 9,117.78, 12,582.57 and 5,343.18 is: 7,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.78 : 12,582.57 = 5,343.18 : x
  2. Step 2: Convert to fraction form
    9,117.78/12,582.57 = 5,343.18/x
  3. Step 3: Cross multiply
    9,117.78x = 12,582.57 × 5,343.18
  4. Step 4: Simplify right side
    9,117.78x = 67,230,936.37
  5. Step 5: Solve for x
    x = 67,230,936.37/9,117.78
  6. Step 6: Final answer
    x = 7,373.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.