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Finding the Fourth Proportional to 9,890.94, 14,812.88 and 5,722.18

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Solution

The fourth proportional to 9,890.94, 14,812.88 and 5,722.18 is: 8,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.94 : 14,812.88 = 5,722.18 : x
  2. Step 2: Convert to fraction form
    9,890.94/14,812.88 = 5,722.18/x
  3. Step 3: Cross multiply
    9,890.94x = 14,812.88 × 5,722.18
  4. Step 4: Simplify right side
    9,890.94x = 84,761,900.04
  5. Step 5: Solve for x
    x = 84,761,900.04/9,890.94
  6. Step 6: Final answer
    x = 8,569.65

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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.