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Finding the Fourth Proportional to 9,402.11, 12,970.31 and 7,909.48

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Solution

The fourth proportional to 9,402.11, 12,970.31 and 7,909.48 is: 10,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.11 : 12,970.31 = 7,909.48 : x
  2. Step 2: Convert to fraction form
    9,402.11/12,970.31 = 7,909.48/x
  3. Step 3: Cross multiply
    9,402.11x = 12,970.31 × 7,909.48
  4. Step 4: Simplify right side
    9,402.11x = 102,588,342.69
  5. Step 5: Solve for x
    x = 102,588,342.69/9,402.11
  6. Step 6: Final answer
    x = 10,911.21

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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.