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Finding the Fourth Proportional to 6,289.06, 9,437.10 and 2,956.72

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Solution

The fourth proportional to 6,289.06, 9,437.10 and 2,956.72 is: 4,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.06 : 9,437.10 = 2,956.72 : x
  2. Step 2: Convert to fraction form
    6,289.06/9,437.10 = 2,956.72/x
  3. Step 3: Cross multiply
    6,289.06x = 9,437.10 × 2,956.72
  4. Step 4: Simplify right side
    6,289.06x = 27,902,862.31
  5. Step 5: Solve for x
    x = 27,902,862.31/6,289.06
  6. Step 6: Final answer
    x = 4,436.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.