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Finding the Fourth Proportional to 9,693.69, 14,538.60 and 2,671.89

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Solution

The fourth proportional to 9,693.69, 14,538.60 and 2,671.89 is: 4,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.69 : 14,538.60 = 2,671.89 : x
  2. Step 2: Convert to fraction form
    9,693.69/14,538.60 = 2,671.89/x
  3. Step 3: Cross multiply
    9,693.69x = 14,538.60 × 2,671.89
  4. Step 4: Simplify right side
    9,693.69x = 38,845,539.95
  5. Step 5: Solve for x
    x = 38,845,539.95/9,693.69
  6. Step 6: Final answer
    x = 4,007.30

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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.