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Finding the Fourth Proportional to 9,849.11, 14,780.55 and 8,907.98

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Solution

The fourth proportional to 9,849.11, 14,780.55 and 8,907.98 is: 13,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.11 : 14,780.55 = 8,907.98 : x
  2. Step 2: Convert to fraction form
    9,849.11/14,780.55 = 8,907.98/x
  3. Step 3: Cross multiply
    9,849.11x = 14,780.55 × 8,907.98
  4. Step 4: Simplify right side
    9,849.11x = 131,664,843.79
  5. Step 5: Solve for x
    x = 131,664,843.79/9,849.11
  6. Step 6: Final answer
    x = 13,368.20

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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.