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Finding the Fourth Proportional to 9,228.54, 13,842.81 and 2,303.10

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Solution

The fourth proportional to 9,228.54, 13,842.81 and 2,303.10 is: 3,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.54 : 13,842.81 = 2,303.10 : x
  2. Step 2: Convert to fraction form
    9,228.54/13,842.81 = 2,303.10/x
  3. Step 3: Cross multiply
    9,228.54x = 13,842.81 × 2,303.10
  4. Step 4: Simplify right side
    9,228.54x = 31,881,375.71
  5. Step 5: Solve for x
    x = 31,881,375.71/9,228.54
  6. Step 6: Final answer
    x = 3,454.65

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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.