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Finding the Fourth Proportional to 9,894.14, 13,653.36 and 5,417

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Solution

The fourth proportional to 9,894.14, 13,653.36 and 5,417 is: 7,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.14 : 13,653.36 = 5,417 : x
  2. Step 2: Convert to fraction form
    9,894.14/13,653.36 = 5,417/x
  3. Step 3: Cross multiply
    9,894.14x = 13,653.36 × 5,417
  4. Step 4: Simplify right side
    9,894.14x = 73,960,251.12
  5. Step 5: Solve for x
    x = 73,960,251.12/9,894.14
  6. Step 6: Final answer
    x = 7,475.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.