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Finding the Fourth Proportional to 7,002.81, 9,668.63 and 4,903.29

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Solution

The fourth proportional to 7,002.81, 9,668.63 and 4,903.29 is: 6,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.81 : 9,668.63 = 4,903.29 : x
  2. Step 2: Convert to fraction form
    7,002.81/9,668.63 = 4,903.29/x
  3. Step 3: Cross multiply
    7,002.81x = 9,668.63 × 4,903.29
  4. Step 4: Simplify right side
    7,002.81x = 47,408,072.28
  5. Step 5: Solve for x
    x = 47,408,072.28/7,002.81
  6. Step 6: Final answer
    x = 6,769.86

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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.