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Finding the Fourth Proportional to 6,615.12, 9,897.30 and 4,770.48

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Solution

The fourth proportional to 6,615.12, 9,897.30 and 4,770.48 is: 7,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.12 : 9,897.30 = 4,770.48 : x
  2. Step 2: Convert to fraction form
    6,615.12/9,897.30 = 4,770.48/x
  3. Step 3: Cross multiply
    6,615.12x = 9,897.30 × 4,770.48
  4. Step 4: Simplify right side
    6,615.12x = 47,214,871.70
  5. Step 5: Solve for x
    x = 47,214,871.70/6,615.12
  6. Step 6: Final answer
    x = 7,137.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.