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Finding the Fourth Proportional to 9,106.46, 12,527.41 and 7,424.18

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Solution

The fourth proportional to 9,106.46, 12,527.41 and 7,424.18 is: 10,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.46 : 12,527.41 = 7,424.18 : x
  2. Step 2: Convert to fraction form
    9,106.46/12,527.41 = 7,424.18/x
  3. Step 3: Cross multiply
    9,106.46x = 12,527.41 × 7,424.18
  4. Step 4: Simplify right side
    9,106.46x = 93,005,761.71
  5. Step 5: Solve for x
    x = 93,005,761.71/9,106.46
  6. Step 6: Final answer
    x = 10,213.16

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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.