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Finding the Fourth Proportional to 6,948.20, 9,596.93 and 5,056.79

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Solution

The fourth proportional to 6,948.20, 9,596.93 and 5,056.79 is: 6,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.20 : 9,596.93 = 5,056.79 : x
  2. Step 2: Convert to fraction form
    6,948.20/9,596.93 = 5,056.79/x
  3. Step 3: Cross multiply
    6,948.20x = 9,596.93 × 5,056.79
  4. Step 4: Simplify right side
    6,948.20x = 48,529,586.39
  5. Step 5: Solve for x
    x = 48,529,586.39/6,948.20
  6. Step 6: Final answer
    x = 6,984.49

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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.