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Finding the Fourth Proportional to 6,970.31, 9,632.85 and 5,709.36

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Solution

The fourth proportional to 6,970.31, 9,632.85 and 5,709.36 is: 7,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.31 : 9,632.85 = 5,709.36 : x
  2. Step 2: Convert to fraction form
    6,970.31/9,632.85 = 5,709.36/x
  3. Step 3: Cross multiply
    6,970.31x = 9,632.85 × 5,709.36
  4. Step 4: Simplify right side
    6,970.31x = 54,997,379.93
  5. Step 5: Solve for x
    x = 54,997,379.93/6,970.31
  6. Step 6: Final answer
    x = 7,890.24

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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.