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Finding the Fourth Proportional to 7,071.03, 9,749.97 and 4,515.35

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Solution

The fourth proportional to 7,071.03, 9,749.97 and 4,515.35 is: 6,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.03 : 9,749.97 = 4,515.35 : x
  2. Step 2: Convert to fraction form
    7,071.03/9,749.97 = 4,515.35/x
  3. Step 3: Cross multiply
    7,071.03x = 9,749.97 × 4,515.35
  4. Step 4: Simplify right side
    7,071.03x = 44,024,478.29
  5. Step 5: Solve for x
    x = 44,024,478.29/7,071.03
  6. Step 6: Final answer
    x = 6,226.03

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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.