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Finding the Fourth Proportional to 9,933.04, 14,901.72 and 3,007

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Solution

The fourth proportional to 9,933.04, 14,901.72 and 3,007 is: 4,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.04 : 14,901.72 = 3,007 : x
  2. Step 2: Convert to fraction form
    9,933.04/14,901.72 = 3,007/x
  3. Step 3: Cross multiply
    9,933.04x = 14,901.72 × 3,007
  4. Step 4: Simplify right side
    9,933.04x = 44,809,472.04
  5. Step 5: Solve for x
    x = 44,809,472.04/9,933.04
  6. Step 6: Final answer
    x = 4,511.15

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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.