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Finding the Fourth Proportional to 9,938.34, 13,714.56 and 5,957.10

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Solution

The fourth proportional to 9,938.34, 13,714.56 and 5,957.10 is: 8,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.34 : 13,714.56 = 5,957.10 : x
  2. Step 2: Convert to fraction form
    9,938.34/13,714.56 = 5,957.10/x
  3. Step 3: Cross multiply
    9,938.34x = 13,714.56 × 5,957.10
  4. Step 4: Simplify right side
    9,938.34x = 81,699,005.38
  5. Step 5: Solve for x
    x = 81,699,005.38/9,938.34
  6. Step 6: Final answer
    x = 8,220.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.