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Finding the Fourth Proportional to 6,903.96, 9,528.34 and 5,140.58

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Solution

The fourth proportional to 6,903.96, 9,528.34 and 5,140.58 is: 7,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.96 : 9,528.34 = 5,140.58 : x
  2. Step 2: Convert to fraction form
    6,903.96/9,528.34 = 5,140.58/x
  3. Step 3: Cross multiply
    6,903.96x = 9,528.34 × 5,140.58
  4. Step 4: Simplify right side
    6,903.96x = 48,981,194.04
  5. Step 5: Solve for x
    x = 48,981,194.04/6,903.96
  6. Step 6: Final answer
    x = 7,094.65

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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.