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Finding the Fourth Proportional to 9,641.88, 14,462.82 and 3,798.45

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Solution

The fourth proportional to 9,641.88, 14,462.82 and 3,798.45 is: 5,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.88 : 14,462.82 = 3,798.45 : x
  2. Step 2: Convert to fraction form
    9,641.88/14,462.82 = 3,798.45/x
  3. Step 3: Cross multiply
    9,641.88x = 14,462.82 × 3,798.45
  4. Step 4: Simplify right side
    9,641.88x = 54,936,298.63
  5. Step 5: Solve for x
    x = 54,936,298.63/9,641.88
  6. Step 6: Final answer
    x = 5,697.68

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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.