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Finding the Fourth Proportional to 9,913.32, 13,678.47 and 6,376.05

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Solution

The fourth proportional to 9,913.32, 13,678.47 and 6,376.05 is: 8,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.32 : 13,678.47 = 6,376.05 : x
  2. Step 2: Convert to fraction form
    9,913.32/13,678.47 = 6,376.05/x
  3. Step 3: Cross multiply
    9,913.32x = 13,678.47 × 6,376.05
  4. Step 4: Simplify right side
    9,913.32x = 87,214,608.64
  5. Step 5: Solve for x
    x = 87,214,608.64/9,913.32
  6. Step 6: Final answer
    x = 8,797.72

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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.