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Finding the Fourth Proportional to 9,564.27, 14,348.02 and 2,989.16

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Solution

The fourth proportional to 9,564.27, 14,348.02 and 2,989.16 is: 4,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.27 : 14,348.02 = 2,989.16 : x
  2. Step 2: Convert to fraction form
    9,564.27/14,348.02 = 2,989.16/x
  3. Step 3: Cross multiply
    9,564.27x = 14,348.02 × 2,989.16
  4. Step 4: Simplify right side
    9,564.27x = 42,888,527.46
  5. Step 5: Solve for x
    x = 42,888,527.46/9,564.27
  6. Step 6: Final answer
    x = 4,484.24

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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.