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Finding the Fourth Proportional to 9,849.58, 14,780.52 and 4,006.19

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Solution

The fourth proportional to 9,849.58, 14,780.52 and 4,006.19 is: 6,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.58 : 14,780.52 = 4,006.19 : x
  2. Step 2: Convert to fraction form
    9,849.58/14,780.52 = 4,006.19/x
  3. Step 3: Cross multiply
    9,849.58x = 14,780.52 × 4,006.19
  4. Step 4: Simplify right side
    9,849.58x = 59,213,534.47
  5. Step 5: Solve for x
    x = 59,213,534.47/9,849.58
  6. Step 6: Final answer
    x = 6,011.78

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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.