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Finding the Fourth Proportional to 6,678.16, 9,213.48 and 4,288.66

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Solution

The fourth proportional to 6,678.16, 9,213.48 and 4,288.66 is: 5,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.16 : 9,213.48 = 4,288.66 : x
  2. Step 2: Convert to fraction form
    6,678.16/9,213.48 = 4,288.66/x
  3. Step 3: Cross multiply
    6,678.16x = 9,213.48 × 4,288.66
  4. Step 4: Simplify right side
    6,678.16x = 39,513,460.10
  5. Step 5: Solve for x
    x = 39,513,460.10/6,678.16
  6. Step 6: Final answer
    x = 5,916.82

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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.