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Finding the Fourth Proportional to 9,916.44, 14,877.42 and 8,062.98

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Solution

The fourth proportional to 9,916.44, 14,877.42 and 8,062.98 is: 12,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.44 : 14,877.42 = 8,062.98 : x
  2. Step 2: Convert to fraction form
    9,916.44/14,877.42 = 8,062.98/x
  3. Step 3: Cross multiply
    9,916.44x = 14,877.42 × 8,062.98
  4. Step 4: Simplify right side
    9,916.44x = 119,956,339.91
  5. Step 5: Solve for x
    x = 119,956,339.91/9,916.44
  6. Step 6: Final answer
    x = 12,096.71

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Why These Related Problems?

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