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Finding the Fourth Proportional to 9,933.84, 14,890.23 and 4,009.10

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Solution

The fourth proportional to 9,933.84, 14,890.23 and 4,009.10 is: 6,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.84 : 14,890.23 = 4,009.10 : x
  2. Step 2: Convert to fraction form
    9,933.84/14,890.23 = 4,009.10/x
  3. Step 3: Cross multiply
    9,933.84x = 14,890.23 × 4,009.10
  4. Step 4: Simplify right side
    9,933.84x = 59,696,346.64
  5. Step 5: Solve for x
    x = 59,696,346.64/9,933.84
  6. Step 6: Final answer
    x = 6,009.39

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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.