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Finding the Fourth Proportional to 7,029.15, 9,701.46 and 5,347.86

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Solution

The fourth proportional to 7,029.15, 9,701.46 and 5,347.86 is: 7,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.15 : 9,701.46 = 5,347.86 : x
  2. Step 2: Convert to fraction form
    7,029.15/9,701.46 = 5,347.86/x
  3. Step 3: Cross multiply
    7,029.15x = 9,701.46 × 5,347.86
  4. Step 4: Simplify right side
    7,029.15x = 51,882,049.88
  5. Step 5: Solve for x
    x = 51,882,049.88/7,029.15
  6. Step 6: Final answer
    x = 7,380.98

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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.