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Finding the Fourth Proportional to 9,541.88, 13,166.16 and 6,009.80

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Solution

The fourth proportional to 9,541.88, 13,166.16 and 6,009.80 is: 8,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.88 : 13,166.16 = 6,009.80 : x
  2. Step 2: Convert to fraction form
    9,541.88/13,166.16 = 6,009.80/x
  3. Step 3: Cross multiply
    9,541.88x = 13,166.16 × 6,009.80
  4. Step 4: Simplify right side
    9,541.88x = 79,125,988.37
  5. Step 5: Solve for x
    x = 79,125,988.37/9,541.88
  6. Step 6: Final answer
    x = 8,292.49

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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.