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Finding the Fourth Proportional to 9,097.84, 13,628.92 and 4,718.16

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Solution

The fourth proportional to 9,097.84, 13,628.92 and 4,718.16 is: 7,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.84 : 13,628.92 = 4,718.16 : x
  2. Step 2: Convert to fraction form
    9,097.84/13,628.92 = 4,718.16/x
  3. Step 3: Cross multiply
    9,097.84x = 13,628.92 × 4,718.16
  4. Step 4: Simplify right side
    9,097.84x = 64,303,425.19
  5. Step 5: Solve for x
    x = 64,303,425.19/9,097.84
  6. Step 6: Final answer
    x = 7,067.99

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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.