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Finding the Fourth Proportional to 9,354.68, 14,032.22 and 2,334.60

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Solution

The fourth proportional to 9,354.68, 14,032.22 and 2,334.60 is: 3,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.68 : 14,032.22 = 2,334.60 : x
  2. Step 2: Convert to fraction form
    9,354.68/14,032.22 = 2,334.60/x
  3. Step 3: Cross multiply
    9,354.68x = 14,032.22 × 2,334.60
  4. Step 4: Simplify right side
    9,354.68x = 32,759,609.14
  5. Step 5: Solve for x
    x = 32,759,609.14/9,354.68
  6. Step 6: Final answer
    x = 3,501.95

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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.