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Finding the Fourth Proportional to 9,186.63, 12,679.63 and 5,602.80

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Solution

The fourth proportional to 9,186.63, 12,679.63 and 5,602.80 is: 7,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.63 : 12,679.63 = 5,602.80 : x
  2. Step 2: Convert to fraction form
    9,186.63/12,679.63 = 5,602.80/x
  3. Step 3: Cross multiply
    9,186.63x = 12,679.63 × 5,602.80
  4. Step 4: Simplify right side
    9,186.63x = 71,041,349.64
  5. Step 5: Solve for x
    x = 71,041,349.64/9,186.63
  6. Step 6: Final answer
    x = 7,733.13

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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.