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Finding the Fourth Proportional to 9,905.42, 13,678.72 and 6,374.82

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Solution

The fourth proportional to 9,905.42, 13,678.72 and 6,374.82 is: 8,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.42 : 13,678.72 = 6,374.82 : x
  2. Step 2: Convert to fraction form
    9,905.42/13,678.72 = 6,374.82/x
  3. Step 3: Cross multiply
    9,905.42x = 13,678.72 × 6,374.82
  4. Step 4: Simplify right side
    9,905.42x = 87,199,377.83
  5. Step 5: Solve for x
    x = 87,199,377.83/9,905.42
  6. Step 6: Final answer
    x = 8,803.20

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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.