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Finding the Fourth Proportional to 6,861.06, 9,465.84 and 4,207.50

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Solution

The fourth proportional to 6,861.06, 9,465.84 and 4,207.50 is: 5,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.06 : 9,465.84 = 4,207.50 : x
  2. Step 2: Convert to fraction form
    6,861.06/9,465.84 = 4,207.50/x
  3. Step 3: Cross multiply
    6,861.06x = 9,465.84 × 4,207.50
  4. Step 4: Simplify right side
    6,861.06x = 39,827,521.80
  5. Step 5: Solve for x
    x = 39,827,521.80/6,861.06
  6. Step 6: Final answer
    x = 5,804.86

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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.