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Finding the Fourth Proportional to 6,566.80, 9,054.12 and 4,078.48

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Solution

The fourth proportional to 6,566.80, 9,054.12 and 4,078.48 is: 5,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.80 : 9,054.12 = 4,078.48 : x
  2. Step 2: Convert to fraction form
    6,566.80/9,054.12 = 4,078.48/x
  3. Step 3: Cross multiply
    6,566.80x = 9,054.12 × 4,078.48
  4. Step 4: Simplify right side
    6,566.80x = 36,927,047.34
  5. Step 5: Solve for x
    x = 36,927,047.34/6,566.80
  6. Step 6: Final answer
    x = 5,623.29

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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.