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Finding the Fourth Proportional to 6,566.64, 9,062.76 and 4,797.36

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Solution

The fourth proportional to 6,566.64, 9,062.76 and 4,797.36 is: 6,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.64 : 9,062.76 = 4,797.36 : x
  2. Step 2: Convert to fraction form
    6,566.64/9,062.76 = 4,797.36/x
  3. Step 3: Cross multiply
    6,566.64x = 9,062.76 × 4,797.36
  4. Step 4: Simplify right side
    6,566.64x = 43,477,322.31
  5. Step 5: Solve for x
    x = 43,477,322.31/6,566.64
  6. Step 6: Final answer
    x = 6,620.94

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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.