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Finding the Fourth Proportional to 9,122.63, 12,589.29 and 5,588.19

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Solution

The fourth proportional to 9,122.63, 12,589.29 and 5,588.19 is: 7,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.63 : 12,589.29 = 5,588.19 : x
  2. Step 2: Convert to fraction form
    9,122.63/12,589.29 = 5,588.19/x
  3. Step 3: Cross multiply
    9,122.63x = 12,589.29 × 5,588.19
  4. Step 4: Simplify right side
    9,122.63x = 70,351,344.49
  5. Step 5: Solve for x
    x = 70,351,344.49/9,122.63
  6. Step 6: Final answer
    x = 7,711.74

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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.