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Finding the Fourth Proportional to 6,114.24, 9,088.91 and 5,934.65

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Solution

The fourth proportional to 6,114.24, 9,088.91 and 5,934.65 is: 8,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.24 : 9,088.91 = 5,934.65 : x
  2. Step 2: Convert to fraction form
    6,114.24/9,088.91 = 5,934.65/x
  3. Step 3: Cross multiply
    6,114.24x = 9,088.91 × 5,934.65
  4. Step 4: Simplify right side
    6,114.24x = 53,939,424.61
  5. Step 5: Solve for x
    x = 53,939,424.61/6,114.24
  6. Step 6: Final answer
    x = 8,821.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.