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Finding the Fourth Proportional to 6,807.92, 9,381.29 and 4,916.16

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Solution

The fourth proportional to 6,807.92, 9,381.29 and 4,916.16 is: 6,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.92 : 9,381.29 = 4,916.16 : x
  2. Step 2: Convert to fraction form
    6,807.92/9,381.29 = 4,916.16/x
  3. Step 3: Cross multiply
    6,807.92x = 9,381.29 × 4,916.16
  4. Step 4: Simplify right side
    6,807.92x = 46,119,898.07
  5. Step 5: Solve for x
    x = 46,119,898.07/6,807.92
  6. Step 6: Final answer
    x = 6,774.45

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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.