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Finding the Fourth Proportional to 9,940.10, 14,913.59 and 5,005.71

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Solution

The fourth proportional to 9,940.10, 14,913.59 and 5,005.71 is: 7,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.10 : 14,913.59 = 5,005.71 : x
  2. Step 2: Convert to fraction form
    9,940.10/14,913.59 = 5,005.71/x
  3. Step 3: Cross multiply
    9,940.10x = 14,913.59 × 5,005.71
  4. Step 4: Simplify right side
    9,940.10x = 74,653,081.57
  5. Step 5: Solve for x
    x = 74,653,081.57/9,940.10
  6. Step 6: Final answer
    x = 7,510.30

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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.