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Finding the Fourth Proportional to 9,952.41, 14,933.85 and 4,409.58

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Solution

The fourth proportional to 9,952.41, 14,933.85 and 4,409.58 is: 6,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.41 : 14,933.85 = 4,409.58 : x
  2. Step 2: Convert to fraction form
    9,952.41/14,933.85 = 4,409.58/x
  3. Step 3: Cross multiply
    9,952.41x = 14,933.85 × 4,409.58
  4. Step 4: Simplify right side
    9,952.41x = 65,852,006.28
  5. Step 5: Solve for x
    x = 65,852,006.28/9,952.41
  6. Step 6: Final answer
    x = 6,616.69

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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.