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Finding the Fourth Proportional to 6,947.56, 9,587.94 and 4,153

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Solution

The fourth proportional to 6,947.56, 9,587.94 and 4,153 is: 5,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.56 : 9,587.94 = 4,153 : x
  2. Step 2: Convert to fraction form
    6,947.56/9,587.94 = 4,153/x
  3. Step 3: Cross multiply
    6,947.56x = 9,587.94 × 4,153
  4. Step 4: Simplify right side
    6,947.56x = 39,818,714.82
  5. Step 5: Solve for x
    x = 39,818,714.82/6,947.56
  6. Step 6: Final answer
    x = 5,731.32

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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.