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Finding the Fourth Proportional to 9,223.65, 13,835.25 and 2,984.13

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Solution

The fourth proportional to 9,223.65, 13,835.25 and 2,984.13 is: 4,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.65 : 13,835.25 = 2,984.13 : x
  2. Step 2: Convert to fraction form
    9,223.65/13,835.25 = 2,984.13/x
  3. Step 3: Cross multiply
    9,223.65x = 13,835.25 × 2,984.13
  4. Step 4: Simplify right side
    9,223.65x = 41,286,184.58
  5. Step 5: Solve for x
    x = 41,286,184.58/9,223.65
  6. Step 6: Final answer
    x = 4,476.12

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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.