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Finding the Fourth Proportional to 8,976.17, 13,464.23 and 7,409.40

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Solution

The fourth proportional to 8,976.17, 13,464.23 and 7,409.40 is: 11,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.17 : 13,464.23 = 7,409.40 : x
  2. Step 2: Convert to fraction form
    8,976.17/13,464.23 = 7,409.40/x
  3. Step 3: Cross multiply
    8,976.17x = 13,464.23 × 7,409.40
  4. Step 4: Simplify right side
    8,976.17x = 99,761,828.72
  5. Step 5: Solve for x
    x = 99,761,828.72/8,976.17
  6. Step 6: Final answer
    x = 11,114.08

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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.