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Finding the Fourth Proportional to 9,218.66, 13,830.44 and 4,834.94

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Solution

The fourth proportional to 9,218.66, 13,830.44 and 4,834.94 is: 7,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.66 : 13,830.44 = 4,834.94 : x
  2. Step 2: Convert to fraction form
    9,218.66/13,830.44 = 4,834.94/x
  3. Step 3: Cross multiply
    9,218.66x = 13,830.44 × 4,834.94
  4. Step 4: Simplify right side
    9,218.66x = 66,869,254.25
  5. Step 5: Solve for x
    x = 66,869,254.25/9,218.66
  6. Step 6: Final answer
    x = 7,253.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.