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Finding the Fourth Proportional to 9,228.52, 13,842.60 and 4,295.40

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Solution

The fourth proportional to 9,228.52, 13,842.60 and 4,295.40 is: 6,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.52 : 13,842.60 = 4,295.40 : x
  2. Step 2: Convert to fraction form
    9,228.52/13,842.60 = 4,295.40/x
  3. Step 3: Cross multiply
    9,228.52x = 13,842.60 × 4,295.40
  4. Step 4: Simplify right side
    9,228.52x = 59,459,504.04
  5. Step 5: Solve for x
    x = 59,459,504.04/9,228.52
  6. Step 6: Final answer
    x = 6,443.02

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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.