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Finding the Fourth Proportional to 9,863.25, 14,802.17 and 4,669.13

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Solution

The fourth proportional to 9,863.25, 14,802.17 and 4,669.13 is: 7,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.25 : 14,802.17 = 4,669.13 : x
  2. Step 2: Convert to fraction form
    9,863.25/14,802.17 = 4,669.13/x
  3. Step 3: Cross multiply
    9,863.25x = 14,802.17 × 4,669.13
  4. Step 4: Simplify right side
    9,863.25x = 69,113,158.66
  5. Step 5: Solve for x
    x = 69,113,158.66/9,863.25
  6. Step 6: Final answer
    x = 7,007.14

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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.