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Finding the Fourth Proportional to 7,029.97, 9,701.36 and 3,886.16

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Solution

The fourth proportional to 7,029.97, 9,701.36 and 3,886.16 is: 5,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.97 : 9,701.36 = 3,886.16 : x
  2. Step 2: Convert to fraction form
    7,029.97/9,701.36 = 3,886.16/x
  3. Step 3: Cross multiply
    7,029.97x = 9,701.36 × 3,886.16
  4. Step 4: Simplify right side
    7,029.97x = 37,700,988.67
  5. Step 5: Solve for x
    x = 37,700,988.67/7,029.97
  6. Step 6: Final answer
    x = 5,362.89

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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.