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Finding the Fourth Proportional to 6,886.32, 9,505.25 and 6,533.66

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Solution

The fourth proportional to 6,886.32, 9,505.25 and 6,533.66 is: 9,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.32 : 9,505.25 = 6,533.66 : x
  2. Step 2: Convert to fraction form
    6,886.32/9,505.25 = 6,533.66/x
  3. Step 3: Cross multiply
    6,886.32x = 9,505.25 × 6,533.66
  4. Step 4: Simplify right side
    6,886.32x = 62,104,087.31
  5. Step 5: Solve for x
    x = 62,104,087.31/6,886.32
  6. Step 6: Final answer
    x = 9,018.48

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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.