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Finding the Fourth Proportional to 9,868.86, 14,802.89 and 2,473.16

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Solution

The fourth proportional to 9,868.86, 14,802.89 and 2,473.16 is: 3,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.86 : 14,802.89 = 2,473.16 : x
  2. Step 2: Convert to fraction form
    9,868.86/14,802.89 = 2,473.16/x
  3. Step 3: Cross multiply
    9,868.86x = 14,802.89 × 2,473.16
  4. Step 4: Simplify right side
    9,868.86x = 36,609,829.05
  5. Step 5: Solve for x
    x = 36,609,829.05/9,868.86
  6. Step 6: Final answer
    x = 3,709.63

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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.