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Finding the Fourth Proportional to 9,710.72, 14,500.26 and 7,713.94

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Solution

The fourth proportional to 9,710.72, 14,500.26 and 7,713.94 is: 11,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.72 : 14,500.26 = 7,713.94 : x
  2. Step 2: Convert to fraction form
    9,710.72/14,500.26 = 7,713.94/x
  3. Step 3: Cross multiply
    9,710.72x = 14,500.26 × 7,713.94
  4. Step 4: Simplify right side
    9,710.72x = 111,854,135.62
  5. Step 5: Solve for x
    x = 111,854,135.62/9,710.72
  6. Step 6: Final answer
    x = 11,518.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.