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Finding the Fourth Proportional to 9,907.81, 14,863.66 and 3,667.88

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Solution

The fourth proportional to 9,907.81, 14,863.66 and 3,667.88 is: 5,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.81 : 14,863.66 = 3,667.88 : x
  2. Step 2: Convert to fraction form
    9,907.81/14,863.66 = 3,667.88/x
  3. Step 3: Cross multiply
    9,907.81x = 14,863.66 × 3,667.88
  4. Step 4: Simplify right side
    9,907.81x = 54,518,056.09
  5. Step 5: Solve for x
    x = 54,518,056.09/9,907.81
  6. Step 6: Final answer
    x = 5,502.53

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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.