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Finding the Fourth Proportional to 7,005.42, 9,667.10 and 4,021.18

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Solution

The fourth proportional to 7,005.42, 9,667.10 and 4,021.18 is: 5,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.42 : 9,667.10 = 4,021.18 : x
  2. Step 2: Convert to fraction form
    7,005.42/9,667.10 = 4,021.18/x
  3. Step 3: Cross multiply
    7,005.42x = 9,667.10 × 4,021.18
  4. Step 4: Simplify right side
    7,005.42x = 38,873,135.06
  5. Step 5: Solve for x
    x = 38,873,135.06/7,005.42
  6. Step 6: Final answer
    x = 5,549.01

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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.