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Finding the Fourth Proportional to 9,362.40, 12,881.34 and 7,111.14

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Solution

The fourth proportional to 9,362.40, 12,881.34 and 7,111.14 is: 9,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.40 : 12,881.34 = 7,111.14 : x
  2. Step 2: Convert to fraction form
    9,362.40/12,881.34 = 7,111.14/x
  3. Step 3: Cross multiply
    9,362.40x = 12,881.34 × 7,111.14
  4. Step 4: Simplify right side
    9,362.40x = 91,601,012.13
  5. Step 5: Solve for x
    x = 91,601,012.13/9,362.40
  6. Step 6: Final answer
    x = 9,783.92

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Why These Related Problems?

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