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Finding the Fourth Proportional to 7,134.91, 9,849.33 and 4,585.36

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Solution

The fourth proportional to 7,134.91, 9,849.33 and 4,585.36 is: 6,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.91 : 9,849.33 = 4,585.36 : x
  2. Step 2: Convert to fraction form
    7,134.91/9,849.33 = 4,585.36/x
  3. Step 3: Cross multiply
    7,134.91x = 9,849.33 × 4,585.36
  4. Step 4: Simplify right side
    7,134.91x = 45,162,723.81
  5. Step 5: Solve for x
    x = 45,162,723.81/7,134.91
  6. Step 6: Final answer
    x = 6,329.82

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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.