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Finding the Fourth Proportional to 9,158.88, 12,632.58 and 5,802.24

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Solution

The fourth proportional to 9,158.88, 12,632.58 and 5,802.24 is: 8,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.88 : 12,632.58 = 5,802.24 : x
  2. Step 2: Convert to fraction form
    9,158.88/12,632.58 = 5,802.24/x
  3. Step 3: Cross multiply
    9,158.88x = 12,632.58 × 5,802.24
  4. Step 4: Simplify right side
    9,158.88x = 73,297,260.98
  5. Step 5: Solve for x
    x = 73,297,260.98/9,158.88
  6. Step 6: Final answer
    x = 8,002.86

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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.