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Finding the Fourth Proportional to 6,805.98, 9,389.82 and 4,288.32

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Solution

The fourth proportional to 6,805.98, 9,389.82 and 4,288.32 is: 5,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.98 : 9,389.82 = 4,288.32 : x
  2. Step 2: Convert to fraction form
    6,805.98/9,389.82 = 4,288.32/x
  3. Step 3: Cross multiply
    6,805.98x = 9,389.82 × 4,288.32
  4. Step 4: Simplify right side
    6,805.98x = 40,266,552.90
  5. Step 5: Solve for x
    x = 40,266,552.90/6,805.98
  6. Step 6: Final answer
    x = 5,916.35

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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.