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Finding the Fourth Proportional to 35,606.38, 53,409.75 and 9,311.18

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Solution

The fourth proportional to 35,606.38, 53,409.75 and 9,311.18 is: 13,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,606.38 : 53,409.75 = 9,311.18 : x
  2. Step 2: Convert to fraction form
    35,606.38/53,409.75 = 9,311.18/x
  3. Step 3: Cross multiply
    35,606.38x = 53,409.75 × 9,311.18
  4. Step 4: Simplify right side
    35,606.38x = 497,307,796.01
  5. Step 5: Solve for x
    x = 497,307,796.01/35,606.38
  6. Step 6: Final answer
    x = 13,966.82

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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.