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Finding the Fourth Proportional to 7,002.21, 9,659.93 and 4,017.45

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Solution

The fourth proportional to 7,002.21, 9,659.93 and 4,017.45 is: 5,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.21 : 9,659.93 = 4,017.45 : x
  2. Step 2: Convert to fraction form
    7,002.21/9,659.93 = 4,017.45/x
  3. Step 3: Cross multiply
    7,002.21x = 9,659.93 × 4,017.45
  4. Step 4: Simplify right side
    7,002.21x = 38,808,265.69
  5. Step 5: Solve for x
    x = 38,808,265.69/7,002.21
  6. Step 6: Final answer
    x = 5,542.29

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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.