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Finding the Fourth Proportional to 9,341.96, 12,892.14 and 5,363.78

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Solution

The fourth proportional to 9,341.96, 12,892.14 and 5,363.78 is: 7,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.96 : 12,892.14 = 5,363.78 : x
  2. Step 2: Convert to fraction form
    9,341.96/12,892.14 = 5,363.78/x
  3. Step 3: Cross multiply
    9,341.96x = 12,892.14 × 5,363.78
  4. Step 4: Simplify right side
    9,341.96x = 69,150,602.69
  5. Step 5: Solve for x
    x = 69,150,602.69/9,341.96
  6. Step 6: Final answer
    x = 7,402.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.