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Finding the Fourth Proportional to 9,597.89, 14,388.08 and 8,126.60

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Solution

The fourth proportional to 9,597.89, 14,388.08 and 8,126.60 is: 12,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.89 : 14,388.08 = 8,126.60 : x
  2. Step 2: Convert to fraction form
    9,597.89/14,388.08 = 8,126.60/x
  3. Step 3: Cross multiply
    9,597.89x = 14,388.08 × 8,126.60
  4. Step 4: Simplify right side
    9,597.89x = 116,926,058.35
  5. Step 5: Solve for x
    x = 116,926,058.35/9,597.89
  6. Step 6: Final answer
    x = 12,182.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.