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Finding the Fourth Proportional to 9,341.50, 14,013.06 and 2,416

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Solution

The fourth proportional to 9,341.50, 14,013.06 and 2,416 is: 3,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.50 : 14,013.06 = 2,416 : x
  2. Step 2: Convert to fraction form
    9,341.50/14,013.06 = 2,416/x
  3. Step 3: Cross multiply
    9,341.50x = 14,013.06 × 2,416
  4. Step 4: Simplify right side
    9,341.50x = 33,855,552.96
  5. Step 5: Solve for x
    x = 33,855,552.96/9,341.50
  6. Step 6: Final answer
    x = 3,624.21

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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.