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Finding the Fourth Proportional to 7,066.44, 9,753.84 and 4,412.16

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Solution

The fourth proportional to 7,066.44, 9,753.84 and 4,412.16 is: 6,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.44 : 9,753.84 = 4,412.16 : x
  2. Step 2: Convert to fraction form
    7,066.44/9,753.84 = 4,412.16/x
  3. Step 3: Cross multiply
    7,066.44x = 9,753.84 × 4,412.16
  4. Step 4: Simplify right side
    7,066.44x = 43,035,502.69
  5. Step 5: Solve for x
    x = 43,035,502.69/7,066.44
  6. Step 6: Final answer
    x = 6,090.12

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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.