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Finding the Fourth Proportional to 9,894.30, 13,653.52 and 5,418.10

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Solution

The fourth proportional to 9,894.30, 13,653.52 and 5,418.10 is: 7,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.30 : 13,653.52 = 5,418.10 : x
  2. Step 2: Convert to fraction form
    9,894.30/13,653.52 = 5,418.10/x
  3. Step 3: Cross multiply
    9,894.30x = 13,653.52 × 5,418.10
  4. Step 4: Simplify right side
    9,894.30x = 73,976,136.71
  5. Step 5: Solve for x
    x = 73,976,136.71/9,894.30
  6. Step 6: Final answer
    x = 7,476.64

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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.