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Finding the Fourth Proportional to 9,916.62, 14,877.42 and 7,000.62

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Solution

The fourth proportional to 9,916.62, 14,877.42 and 7,000.62 is: 10,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.62 : 14,877.42 = 7,000.62 : x
  2. Step 2: Convert to fraction form
    9,916.62/14,877.42 = 7,000.62/x
  3. Step 3: Cross multiply
    9,916.62x = 14,877.42 × 7,000.62
  4. Step 4: Simplify right side
    9,916.62x = 104,151,164.00
  5. Step 5: Solve for x
    x = 104,151,164.00/9,916.62
  6. Step 6: Final answer
    x = 10,502.69

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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.