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Finding the Fourth Proportional to 6,586.15, 9,886.18 and 6,437.41

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Solution

The fourth proportional to 6,586.15, 9,886.18 and 6,437.41 is: 9,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.15 : 9,886.18 = 6,437.41 : x
  2. Step 2: Convert to fraction form
    6,586.15/9,886.18 = 6,437.41/x
  3. Step 3: Cross multiply
    6,586.15x = 9,886.18 × 6,437.41
  4. Step 4: Simplify right side
    6,586.15x = 63,641,438.97
  5. Step 5: Solve for x
    x = 63,641,438.97/6,586.15
  6. Step 6: Final answer
    x = 9,662.92

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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.