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Finding the Fourth Proportional to 9,664.97, 13,337.19 and 5,415.50

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Solution

The fourth proportional to 9,664.97, 13,337.19 and 5,415.50 is: 7,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.97 : 13,337.19 = 5,415.50 : x
  2. Step 2: Convert to fraction form
    9,664.97/13,337.19 = 5,415.50/x
  3. Step 3: Cross multiply
    9,664.97x = 13,337.19 × 5,415.50
  4. Step 4: Simplify right side
    9,664.97x = 72,227,585.79
  5. Step 5: Solve for x
    x = 72,227,585.79/9,664.97
  6. Step 6: Final answer
    x = 7,473.13

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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.