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Finding the Fourth Proportional to 7,094.76, 9,785.79 and 6,148.89

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Solution

The fourth proportional to 7,094.76, 9,785.79 and 6,148.89 is: 8,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.76 : 9,785.79 = 6,148.89 : x
  2. Step 2: Convert to fraction form
    7,094.76/9,785.79 = 6,148.89/x
  3. Step 3: Cross multiply
    7,094.76x = 9,785.79 × 6,148.89
  4. Step 4: Simplify right side
    7,094.76x = 60,171,746.27
  5. Step 5: Solve for x
    x = 60,171,746.27/7,094.76
  6. Step 6: Final answer
    x = 8,481.15

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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.