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Finding the Fourth Proportional to 9,218.67, 13,830.42 and 4,834.95

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Solution

The fourth proportional to 9,218.67, 13,830.42 and 4,834.95 is: 7,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.67 : 13,830.42 = 4,834.95 : x
  2. Step 2: Convert to fraction form
    9,218.67/13,830.42 = 4,834.95/x
  3. Step 3: Cross multiply
    9,218.67x = 13,830.42 × 4,834.95
  4. Step 4: Simplify right side
    9,218.67x = 66,869,389.18
  5. Step 5: Solve for x
    x = 66,869,389.18/9,218.67
  6. Step 6: Final answer
    x = 7,253.69

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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.