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Finding the Fourth Proportional to 10,301.19, 15,427 and 9,784.41

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Solution

The fourth proportional to 10,301.19, 15,427 and 9,784.41 is: 14,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.19 : 15,427 = 9,784.41 : x
  2. Step 2: Convert to fraction form
    10,301.19/15,427 = 9,784.41/x
  3. Step 3: Cross multiply
    10,301.19x = 15,427 × 9,784.41
  4. Step 4: Simplify right side
    10,301.19x = 150,944,093.07
  5. Step 5: Solve for x
    x = 150,944,093.07/10,301.19
  6. Step 6: Final answer
    x = 14,653.07

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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.