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Finding the Fourth Proportional to 9,905.98, 13,670.74 and 5,429.92

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Solution

The fourth proportional to 9,905.98, 13,670.74 and 5,429.92 is: 7,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.98 : 13,670.74 = 5,429.92 : x
  2. Step 2: Convert to fraction form
    9,905.98/13,670.74 = 5,429.92/x
  3. Step 3: Cross multiply
    9,905.98x = 13,670.74 × 5,429.92
  4. Step 4: Simplify right side
    9,905.98x = 74,231,024.54
  5. Step 5: Solve for x
    x = 74,231,024.54/9,905.98
  6. Step 6: Final answer
    x = 7,493.56

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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.