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Finding the Fourth Proportional to 9,894.08, 13,653.24 and 5,417.84

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Solution

The fourth proportional to 9,894.08, 13,653.24 and 5,417.84 is: 7,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.08 : 13,653.24 = 5,417.84 : x
  2. Step 2: Convert to fraction form
    9,894.08/13,653.24 = 5,417.84/x
  3. Step 3: Cross multiply
    9,894.08x = 13,653.24 × 5,417.84
  4. Step 4: Simplify right side
    9,894.08x = 73,971,069.80
  5. Step 5: Solve for x
    x = 73,971,069.80/9,894.08
  6. Step 6: Final answer
    x = 7,476.30

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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.