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Finding the Fourth Proportional to 9,430.42, 13,001.97 and 5,892.34

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Solution

The fourth proportional to 9,430.42, 13,001.97 and 5,892.34 is: 8,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.42 : 13,001.97 = 5,892.34 : x
  2. Step 2: Convert to fraction form
    9,430.42/13,001.97 = 5,892.34/x
  3. Step 3: Cross multiply
    9,430.42x = 13,001.97 × 5,892.34
  4. Step 4: Simplify right side
    9,430.42x = 76,612,027.91
  5. Step 5: Solve for x
    x = 76,612,027.91/9,430.42
  6. Step 6: Final answer
    x = 8,123.93

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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.