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Finding the Fourth Proportional to 6,870.56, 9,474.71 and 4,742.69

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Solution

The fourth proportional to 6,870.56, 9,474.71 and 4,742.69 is: 6,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.56 : 9,474.71 = 4,742.69 : x
  2. Step 2: Convert to fraction form
    6,870.56/9,474.71 = 4,742.69/x
  3. Step 3: Cross multiply
    6,870.56x = 9,474.71 × 4,742.69
  4. Step 4: Simplify right side
    6,870.56x = 44,935,541.28
  5. Step 5: Solve for x
    x = 44,935,541.28/6,870.56
  6. Step 6: Final answer
    x = 6,540.31

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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.