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Finding the Fourth Proportional to 6,810.66, 9,438.84 and 6,706.98

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Solution

The fourth proportional to 6,810.66, 9,438.84 and 6,706.98 is: 9,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.66 : 9,438.84 = 6,706.98 : x
  2. Step 2: Convert to fraction form
    6,810.66/9,438.84 = 6,706.98/x
  3. Step 3: Cross multiply
    6,810.66x = 9,438.84 × 6,706.98
  4. Step 4: Simplify right side
    6,810.66x = 63,306,111.10
  5. Step 5: Solve for x
    x = 63,306,111.10/6,810.66
  6. Step 6: Final answer
    x = 9,295.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.