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Finding the Fourth Proportional to 7,040.25, 9,720 and 4,391.55

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Solution

The fourth proportional to 7,040.25, 9,720 and 4,391.55 is: 6,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.25 : 9,720 = 4,391.55 : x
  2. Step 2: Convert to fraction form
    7,040.25/9,720 = 4,391.55/x
  3. Step 3: Cross multiply
    7,040.25x = 9,720 × 4,391.55
  4. Step 4: Simplify right side
    7,040.25x = 42,685,866
  5. Step 5: Solve for x
    x = 42,685,866/7,040.25
  6. Step 6: Final answer
    x = 6,063.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.