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Finding the Fourth Proportional to 9,649.98, 13,311.90 and 6,291.36

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Solution

The fourth proportional to 9,649.98, 13,311.90 and 6,291.36 is: 8,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.98 : 13,311.90 = 6,291.36 : x
  2. Step 2: Convert to fraction form
    9,649.98/13,311.90 = 6,291.36/x
  3. Step 3: Cross multiply
    9,649.98x = 13,311.90 × 6,291.36
  4. Step 4: Simplify right side
    9,649.98x = 83,749,955.18
  5. Step 5: Solve for x
    x = 83,749,955.18/9,649.98
  6. Step 6: Final answer
    x = 8,678.77

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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.