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Finding the Fourth Proportional to 9,699.29, 14,548.64 and 2,679.72

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Solution

The fourth proportional to 9,699.29, 14,548.64 and 2,679.72 is: 4,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.29 : 14,548.64 = 2,679.72 : x
  2. Step 2: Convert to fraction form
    9,699.29/14,548.64 = 2,679.72/x
  3. Step 3: Cross multiply
    9,699.29x = 14,548.64 × 2,679.72
  4. Step 4: Simplify right side
    9,699.29x = 38,986,281.58
  5. Step 5: Solve for x
    x = 38,986,281.58/9,699.29
  6. Step 6: Final answer
    x = 4,019.50

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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.