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Finding the Fourth Proportional to 9,689.58, 14,534.38 and 2,764.08

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Solution

The fourth proportional to 9,689.58, 14,534.38 and 2,764.08 is: 4,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.58 : 14,534.38 = 2,764.08 : x
  2. Step 2: Convert to fraction form
    9,689.58/14,534.38 = 2,764.08/x
  3. Step 3: Cross multiply
    9,689.58x = 14,534.38 × 2,764.08
  4. Step 4: Simplify right side
    9,689.58x = 40,174,189.07
  5. Step 5: Solve for x
    x = 40,174,189.07/9,689.58
  6. Step 6: Final answer
    x = 4,146.12

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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.