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Finding the Fourth Proportional to 7,125.31, 9,829.86 and 4,292.65

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Solution

The fourth proportional to 7,125.31, 9,829.86 and 4,292.65 is: 5,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.31 : 9,829.86 = 4,292.65 : x
  2. Step 2: Convert to fraction form
    7,125.31/9,829.86 = 4,292.65/x
  3. Step 3: Cross multiply
    7,125.31x = 9,829.86 × 4,292.65
  4. Step 4: Simplify right side
    7,125.31x = 42,196,148.53
  5. Step 5: Solve for x
    x = 42,196,148.53/7,125.31
  6. Step 6: Final answer
    x = 5,922.01

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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.