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Finding the Fourth Proportional to 9,362.14, 14,038.51 and 3,119.97

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Solution

The fourth proportional to 9,362.14, 14,038.51 and 3,119.97 is: 4,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.14 : 14,038.51 = 3,119.97 : x
  2. Step 2: Convert to fraction form
    9,362.14/14,038.51 = 3,119.97/x
  3. Step 3: Cross multiply
    9,362.14x = 14,038.51 × 3,119.97
  4. Step 4: Simplify right side
    9,362.14x = 43,799,730.04
  5. Step 5: Solve for x
    x = 43,799,730.04/9,362.14
  6. Step 6: Final answer
    x = 4,678.39

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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.