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Finding the Fourth Proportional to 10,072.71, 15,007.84 and 9,506.81

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Solution

The fourth proportional to 10,072.71, 15,007.84 and 9,506.81 is: 14,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.71 : 15,007.84 = 9,506.81 : x
  2. Step 2: Convert to fraction form
    10,072.71/15,007.84 = 9,506.81/x
  3. Step 3: Cross multiply
    10,072.71x = 15,007.84 × 9,506.81
  4. Step 4: Simplify right side
    10,072.71x = 142,676,697.14
  5. Step 5: Solve for x
    x = 142,676,697.14/10,072.71
  6. Step 6: Final answer
    x = 14,164.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.