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Finding the Fourth Proportional to 9,934.12, 14,899.56 and 3,007

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Solution

The fourth proportional to 9,934.12, 14,899.56 and 3,007 is: 4,510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.12 : 14,899.56 = 3,007 : x
  2. Step 2: Convert to fraction form
    9,934.12/14,899.56 = 3,007/x
  3. Step 3: Cross multiply
    9,934.12x = 14,899.56 × 3,007
  4. Step 4: Simplify right side
    9,934.12x = 44,802,976.92
  5. Step 5: Solve for x
    x = 44,802,976.92/9,934.12
  6. Step 6: Final answer
    x = 4,510.01

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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.