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Finding the Fourth Proportional to 9,602.84, 14,404.66 and 4,919.94

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Solution

The fourth proportional to 9,602.84, 14,404.66 and 4,919.94 is: 7,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.84 : 14,404.66 = 4,919.94 : x
  2. Step 2: Convert to fraction form
    9,602.84/14,404.66 = 4,919.94/x
  3. Step 3: Cross multiply
    9,602.84x = 14,404.66 × 4,919.94
  4. Step 4: Simplify right side
    9,602.84x = 70,870,062.92
  5. Step 5: Solve for x
    x = 70,870,062.92/9,602.84
  6. Step 6: Final answer
    x = 7,380.11

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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.