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Finding the Fourth Proportional to 6,975.34, 9,632.22 and 5,203.87

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Solution

The fourth proportional to 6,975.34, 9,632.22 and 5,203.87 is: 7,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.34 : 9,632.22 = 5,203.87 : x
  2. Step 2: Convert to fraction form
    6,975.34/9,632.22 = 5,203.87/x
  3. Step 3: Cross multiply
    6,975.34x = 9,632.22 × 5,203.87
  4. Step 4: Simplify right side
    6,975.34x = 50,124,820.69
  5. Step 5: Solve for x
    x = 50,124,820.69/6,975.34
  6. Step 6: Final answer
    x = 7,186.00

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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.