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Finding the Fourth Proportional to 6,376.38, 9,570.66 and 3,916.01

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Solution

The fourth proportional to 6,376.38, 9,570.66 and 3,916.01 is: 5,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.38 : 9,570.66 = 3,916.01 : x
  2. Step 2: Convert to fraction form
    6,376.38/9,570.66 = 3,916.01/x
  3. Step 3: Cross multiply
    6,376.38x = 9,570.66 × 3,916.01
  4. Step 4: Simplify right side
    6,376.38x = 37,478,752.41
  5. Step 5: Solve for x
    x = 37,478,752.41/6,376.38
  6. Step 6: Final answer
    x = 5,877.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.