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Finding the Fourth Proportional to 7,035.03, 9,705.87 and 4,516.92

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Solution

The fourth proportional to 7,035.03, 9,705.87 and 4,516.92 is: 6,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.03 : 9,705.87 = 4,516.92 : x
  2. Step 2: Convert to fraction form
    7,035.03/9,705.87 = 4,516.92/x
  3. Step 3: Cross multiply
    7,035.03x = 9,705.87 × 4,516.92
  4. Step 4: Simplify right side
    7,035.03x = 43,840,638.32
  5. Step 5: Solve for x
    x = 43,840,638.32/7,035.03
  6. Step 6: Final answer
    x = 6,231.76

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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.