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Finding the Fourth Proportional to 9,237.68, 13,856.54 and 2,312.20

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Solution

The fourth proportional to 9,237.68, 13,856.54 and 2,312.20 is: 3,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.68 : 13,856.54 = 2,312.20 : x
  2. Step 2: Convert to fraction form
    9,237.68/13,856.54 = 2,312.20/x
  3. Step 3: Cross multiply
    9,237.68x = 13,856.54 × 2,312.20
  4. Step 4: Simplify right side
    9,237.68x = 32,039,091.79
  5. Step 5: Solve for x
    x = 32,039,091.79/9,237.68
  6. Step 6: Final answer
    x = 3,468.31

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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.