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Finding the Fourth Proportional to 9,184.56, 12,677.55 and 5,407.42

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Solution

The fourth proportional to 9,184.56, 12,677.55 and 5,407.42 is: 7,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.56 : 12,677.55 = 5,407.42 : x
  2. Step 2: Convert to fraction form
    9,184.56/12,677.55 = 5,407.42/x
  3. Step 3: Cross multiply
    9,184.56x = 12,677.55 × 5,407.42
  4. Step 4: Simplify right side
    9,184.56x = 68,552,837.42
  5. Step 5: Solve for x
    x = 68,552,837.42/9,184.56
  6. Step 6: Final answer
    x = 7,463.93

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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.