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Finding the Fourth Proportional to 6,897.29, 9,512.60 and 4,242.80

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Solution

The fourth proportional to 6,897.29, 9,512.60 and 4,242.80 is: 5,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.29 : 9,512.60 = 4,242.80 : x
  2. Step 2: Convert to fraction form
    6,897.29/9,512.60 = 4,242.80/x
  3. Step 3: Cross multiply
    6,897.29x = 9,512.60 × 4,242.80
  4. Step 4: Simplify right side
    6,897.29x = 40,360,061.85
  5. Step 5: Solve for x
    x = 40,360,061.85/6,897.29
  6. Step 6: Final answer
    x = 5,851.59

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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.