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Finding the Fourth Proportional to 9,146.51, 12,621.92 and 5,369.61

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Solution

The fourth proportional to 9,146.51, 12,621.92 and 5,369.61 is: 7,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.51 : 12,621.92 = 5,369.61 : x
  2. Step 2: Convert to fraction form
    9,146.51/12,621.92 = 5,369.61/x
  3. Step 3: Cross multiply
    9,146.51x = 12,621.92 × 5,369.61
  4. Step 4: Simplify right side
    9,146.51x = 67,774,787.85
  5. Step 5: Solve for x
    x = 67,774,787.85/9,146.51
  6. Step 6: Final answer
    x = 7,409.91

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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.