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Finding the Fourth Proportional to 9,468.32, 13,066.31 and 5,693.66

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Solution

The fourth proportional to 9,468.32, 13,066.31 and 5,693.66 is: 7,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.32 : 13,066.31 = 5,693.66 : x
  2. Step 2: Convert to fraction form
    9,468.32/13,066.31 = 5,693.66/x
  3. Step 3: Cross multiply
    9,468.32x = 13,066.31 × 5,693.66
  4. Step 4: Simplify right side
    9,468.32x = 74,395,032.79
  5. Step 5: Solve for x
    x = 74,395,032.79/9,468.32
  6. Step 6: Final answer
    x = 7,857.26

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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.