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Finding the Fourth Proportional to 9,527.16, 14,304.38 and 5,836.72

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Solution

The fourth proportional to 9,527.16, 14,304.38 and 5,836.72 is: 8,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.16 : 14,304.38 = 5,836.72 : x
  2. Step 2: Convert to fraction form
    9,527.16/14,304.38 = 5,836.72/x
  3. Step 3: Cross multiply
    9,527.16x = 14,304.38 × 5,836.72
  4. Step 4: Simplify right side
    9,527.16x = 83,490,660.83
  5. Step 5: Solve for x
    x = 83,490,660.83/9,527.16
  6. Step 6: Final answer
    x = 8,763.44

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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.