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Finding the Fourth Proportional to 7,029.95, 9,701.24 and 3,886.20

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Solution

The fourth proportional to 7,029.95, 9,701.24 and 3,886.20 is: 5,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.95 : 9,701.24 = 3,886.20 : x
  2. Step 2: Convert to fraction form
    7,029.95/9,701.24 = 3,886.20/x
  3. Step 3: Cross multiply
    7,029.95x = 9,701.24 × 3,886.20
  4. Step 4: Simplify right side
    7,029.95x = 37,700,939.46
  5. Step 5: Solve for x
    x = 37,700,939.46/7,029.95
  6. Step 6: Final answer
    x = 5,362.91

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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.