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Finding the Fourth Proportional to 9,953.30, 14,929.92 and 4,757.96

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Solution

The fourth proportional to 9,953.30, 14,929.92 and 4,757.96 is: 7,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.30 : 14,929.92 = 4,757.96 : x
  2. Step 2: Convert to fraction form
    9,953.30/14,929.92 = 4,757.96/x
  3. Step 3: Cross multiply
    9,953.30x = 14,929.92 × 4,757.96
  4. Step 4: Simplify right side
    9,953.30x = 71,035,962.16
  5. Step 5: Solve for x
    x = 71,035,962.16/9,953.30
  6. Step 6: Final answer
    x = 7,136.93

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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.