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Finding the Fourth Proportional to 9,696.66, 14,531.08 and 5,528.06

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Solution

The fourth proportional to 9,696.66, 14,531.08 and 5,528.06 is: 8,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.66 : 14,531.08 = 5,528.06 : x
  2. Step 2: Convert to fraction form
    9,696.66/14,531.08 = 5,528.06/x
  3. Step 3: Cross multiply
    9,696.66x = 14,531.08 × 5,528.06
  4. Step 4: Simplify right side
    9,696.66x = 80,328,682.10
  5. Step 5: Solve for x
    x = 80,328,682.10/9,696.66
  6. Step 6: Final answer
    x = 8,284.16

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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.