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Finding the Fourth Proportional to 9,199.59, 13,801.01 and 3,364.35

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Solution

The fourth proportional to 9,199.59, 13,801.01 and 3,364.35 is: 5,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.59 : 13,801.01 = 3,364.35 : x
  2. Step 2: Convert to fraction form
    9,199.59/13,801.01 = 3,364.35/x
  3. Step 3: Cross multiply
    9,199.59x = 13,801.01 × 3,364.35
  4. Step 4: Simplify right side
    9,199.59x = 46,431,411.17
  5. Step 5: Solve for x
    x = 46,431,411.17/9,199.59
  6. Step 6: Final answer
    x = 5,047.12

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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.