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Finding the Fourth Proportional to 9,098.61, 12,554.42 and 5,119.08

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Solution

The fourth proportional to 9,098.61, 12,554.42 and 5,119.08 is: 7,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.61 : 12,554.42 = 5,119.08 : x
  2. Step 2: Convert to fraction form
    9,098.61/12,554.42 = 5,119.08/x
  3. Step 3: Cross multiply
    9,098.61x = 12,554.42 × 5,119.08
  4. Step 4: Simplify right side
    9,098.61x = 64,267,054.74
  5. Step 5: Solve for x
    x = 64,267,054.74/9,098.61
  6. Step 6: Final answer
    x = 7,063.39

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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.