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Finding the Fourth Proportional to 9,659.84, 14,486.63 and 3,084.48

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Solution

The fourth proportional to 9,659.84, 14,486.63 and 3,084.48 is: 4,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.84 : 14,486.63 = 3,084.48 : x
  2. Step 2: Convert to fraction form
    9,659.84/14,486.63 = 3,084.48/x
  3. Step 3: Cross multiply
    9,659.84x = 14,486.63 × 3,084.48
  4. Step 4: Simplify right side
    9,659.84x = 44,683,705.08
  5. Step 5: Solve for x
    x = 44,683,705.08/9,659.84
  6. Step 6: Final answer
    x = 4,625.72

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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.