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Finding the Fourth Proportional to 7,035.48, 9,700.20 and 4,513.44

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Solution

The fourth proportional to 7,035.48, 9,700.20 and 4,513.44 is: 6,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.48 : 9,700.20 = 4,513.44 : x
  2. Step 2: Convert to fraction form
    7,035.48/9,700.20 = 4,513.44/x
  3. Step 3: Cross multiply
    7,035.48x = 9,700.20 × 4,513.44
  4. Step 4: Simplify right side
    7,035.48x = 43,781,270.69
  5. Step 5: Solve for x
    x = 43,781,270.69/7,035.48
  6. Step 6: Final answer
    x = 6,222.93

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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.