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Finding the Fourth Proportional to 6,306.06, 9,455.40 and 3,703.50

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Solution

The fourth proportional to 6,306.06, 9,455.40 and 3,703.50 is: 5,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.06 : 9,455.40 = 3,703.50 : x
  2. Step 2: Convert to fraction form
    6,306.06/9,455.40 = 3,703.50/x
  3. Step 3: Cross multiply
    6,306.06x = 9,455.40 × 3,703.50
  4. Step 4: Simplify right side
    6,306.06x = 35,018,073.90
  5. Step 5: Solve for x
    x = 35,018,073.90/6,306.06
  6. Step 6: Final answer
    x = 5,553.08

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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.