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Finding the Fourth Proportional to 9,696.17, 14,530.80 and 4,418.28

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Solution

The fourth proportional to 9,696.17, 14,530.80 and 4,418.28 is: 6,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.17 : 14,530.80 = 4,418.28 : x
  2. Step 2: Convert to fraction form
    9,696.17/14,530.80 = 4,418.28/x
  3. Step 3: Cross multiply
    9,696.17x = 14,530.80 × 4,418.28
  4. Step 4: Simplify right side
    9,696.17x = 64,201,203.04
  5. Step 5: Solve for x
    x = 64,201,203.04/9,696.17
  6. Step 6: Final answer
    x = 6,621.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.