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Finding the Fourth Proportional to 9,166.80, 13,750.20 and 4,549.20

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Solution

The fourth proportional to 9,166.80, 13,750.20 and 4,549.20 is: 6,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.80 : 13,750.20 = 4,549.20 : x
  2. Step 2: Convert to fraction form
    9,166.80/13,750.20 = 4,549.20/x
  3. Step 3: Cross multiply
    9,166.80x = 13,750.20 × 4,549.20
  4. Step 4: Simplify right side
    9,166.80x = 62,552,409.84
  5. Step 5: Solve for x
    x = 62,552,409.84/9,166.80
  6. Step 6: Final answer
    x = 6,823.80

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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.