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Finding the Fourth Proportional to 9,281.25, 13,920.53 and 3,436.83

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Solution

The fourth proportional to 9,281.25, 13,920.53 and 3,436.83 is: 5,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.25 : 13,920.53 = 3,436.83 : x
  2. Step 2: Convert to fraction form
    9,281.25/13,920.53 = 3,436.83/x
  3. Step 3: Cross multiply
    9,281.25x = 13,920.53 × 3,436.83
  4. Step 4: Simplify right side
    9,281.25x = 47,842,477.94
  5. Step 5: Solve for x
    x = 47,842,477.94/9,281.25
  6. Step 6: Final answer
    x = 5,154.75

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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.