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Finding the Fourth Proportional to 9,390.24, 12,955.68 and 5,409

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Solution

The fourth proportional to 9,390.24, 12,955.68 and 5,409 is: 7,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.24 : 12,955.68 = 5,409 : x
  2. Step 2: Convert to fraction form
    9,390.24/12,955.68 = 5,409/x
  3. Step 3: Cross multiply
    9,390.24x = 12,955.68 × 5,409
  4. Step 4: Simplify right side
    9,390.24x = 70,077,273.12
  5. Step 5: Solve for x
    x = 70,077,273.12/9,390.24
  6. Step 6: Final answer
    x = 7,462.78

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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.