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Finding the Fourth Proportional to 7,124.31, 9,828.48 and 4,291.65

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Solution

The fourth proportional to 7,124.31, 9,828.48 and 4,291.65 is: 5,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.31 : 9,828.48 = 4,291.65 : x
  2. Step 2: Convert to fraction form
    7,124.31/9,828.48 = 4,291.65/x
  3. Step 3: Cross multiply
    7,124.31x = 9,828.48 × 4,291.65
  4. Step 4: Simplify right side
    7,124.31x = 42,180,396.19
  5. Step 5: Solve for x
    x = 42,180,396.19/7,124.31
  6. Step 6: Final answer
    x = 5,920.63

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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.