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Finding the Fourth Proportional to 6,916.36, 9,541.86 and 4,259.16

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Solution

The fourth proportional to 6,916.36, 9,541.86 and 4,259.16 is: 5,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.36 : 9,541.86 = 4,259.16 : x
  2. Step 2: Convert to fraction form
    6,916.36/9,541.86 = 4,259.16/x
  3. Step 3: Cross multiply
    6,916.36x = 9,541.86 × 4,259.16
  4. Step 4: Simplify right side
    6,916.36x = 40,640,308.44
  5. Step 5: Solve for x
    x = 40,640,308.44/6,916.36
  6. Step 6: Final answer
    x = 5,875.97

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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.