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Finding the Fourth Proportional to 9,193.42, 12,687.78 and 5,417.76

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Solution

The fourth proportional to 9,193.42, 12,687.78 and 5,417.76 is: 7,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.42 : 12,687.78 = 5,417.76 : x
  2. Step 2: Convert to fraction form
    9,193.42/12,687.78 = 5,417.76/x
  3. Step 3: Cross multiply
    9,193.42x = 12,687.78 × 5,417.76
  4. Step 4: Simplify right side
    9,193.42x = 68,739,367.29
  5. Step 5: Solve for x
    x = 68,739,367.29/9,193.42
  6. Step 6: Final answer
    x = 7,477.02

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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.