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Finding the Fourth Proportional to 8,597.49, 12,897.86 and 6,126.18

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Solution

The fourth proportional to 8,597.49, 12,897.86 and 6,126.18 is: 9,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.49 : 12,897.86 = 6,126.18 : x
  2. Step 2: Convert to fraction form
    8,597.49/12,897.86 = 6,126.18/x
  3. Step 3: Cross multiply
    8,597.49x = 12,897.86 × 6,126.18
  4. Step 4: Simplify right side
    8,597.49x = 79,014,581.34
  5. Step 5: Solve for x
    x = 79,014,581.34/8,597.49
  6. Step 6: Final answer
    x = 9,190.42

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