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Finding the Fourth Proportional to 6,703.46, 9,250.14 and 3,870.62

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Solution

The fourth proportional to 6,703.46, 9,250.14 and 3,870.62 is: 5,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.46 : 9,250.14 = 3,870.62 : x
  2. Step 2: Convert to fraction form
    6,703.46/9,250.14 = 3,870.62/x
  3. Step 3: Cross multiply
    6,703.46x = 9,250.14 × 3,870.62
  4. Step 4: Simplify right side
    6,703.46x = 35,803,776.89
  5. Step 5: Solve for x
    x = 35,803,776.89/6,703.46
  6. Step 6: Final answer
    x = 5,341.09

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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.