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Finding the Fourth Proportional to 9,710.34, 13,400.22 and 5,518.59

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Solution

The fourth proportional to 9,710.34, 13,400.22 and 5,518.59 is: 7,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.34 : 13,400.22 = 5,518.59 : x
  2. Step 2: Convert to fraction form
    9,710.34/13,400.22 = 5,518.59/x
  3. Step 3: Cross multiply
    9,710.34x = 13,400.22 × 5,518.59
  4. Step 4: Simplify right side
    9,710.34x = 73,950,320.09
  5. Step 5: Solve for x
    x = 73,950,320.09/9,710.34
  6. Step 6: Final answer
    x = 7,615.63

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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.