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Finding the Fourth Proportional to 9,916.86, 13,680.53 and 5,937.20

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Solution

The fourth proportional to 9,916.86, 13,680.53 and 5,937.20 is: 8,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.86 : 13,680.53 = 5,937.20 : x
  2. Step 2: Convert to fraction form
    9,916.86/13,680.53 = 5,937.20/x
  3. Step 3: Cross multiply
    9,916.86x = 13,680.53 × 5,937.20
  4. Step 4: Simplify right side
    9,916.86x = 81,224,018.19
  5. Step 5: Solve for x
    x = 81,224,018.19/9,916.86
  6. Step 6: Final answer
    x = 8,190.49

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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.