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Finding the Fourth Proportional to 9,586.73, 14,386.66 and 3,346.74

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Solution

The fourth proportional to 9,586.73, 14,386.66 and 3,346.74 is: 5,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.73 : 14,386.66 = 3,346.74 : x
  2. Step 2: Convert to fraction form
    9,586.73/14,386.66 = 3,346.74/x
  3. Step 3: Cross multiply
    9,586.73x = 14,386.66 × 3,346.74
  4. Step 4: Simplify right side
    9,586.73x = 48,148,454.82
  5. Step 5: Solve for x
    x = 48,148,454.82/9,586.73
  6. Step 6: Final answer
    x = 5,022.41

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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.