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Finding the Fourth Proportional to 9,281.84, 13,924.81 and 4,604.39

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Solution

The fourth proportional to 9,281.84, 13,924.81 and 4,604.39 is: 6,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.84 : 13,924.81 = 4,604.39 : x
  2. Step 2: Convert to fraction form
    9,281.84/13,924.81 = 4,604.39/x
  3. Step 3: Cross multiply
    9,281.84x = 13,924.81 × 4,604.39
  4. Step 4: Simplify right side
    9,281.84x = 64,115,322.59
  5. Step 5: Solve for x
    x = 64,115,322.59/9,281.84
  6. Step 6: Final answer
    x = 6,907.61

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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.