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Finding the Fourth Proportional to 6,916.80, 9,700.80 and 6,916.80

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Solution

The fourth proportional to 6,916.80, 9,700.80 and 6,916.80 is: 9,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.80 : 9,700.80 = 6,916.80 : x
  2. Step 2: Convert to fraction form
    6,916.80/9,700.80 = 6,916.80/x
  3. Step 3: Cross multiply
    6,916.80x = 9,700.80 × 6,916.80
  4. Step 4: Simplify right side
    6,916.80x = 67,098,493.44
  5. Step 5: Solve for x
    x = 67,098,493.44/6,916.80
  6. Step 6: Final answer
    x = 9,700.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.