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Finding the Fourth Proportional to 9,106.82, 13,649.98 and 4,652.03

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Solution

The fourth proportional to 9,106.82, 13,649.98 and 4,652.03 is: 6,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.82 : 13,649.98 = 4,652.03 : x
  2. Step 2: Convert to fraction form
    9,106.82/13,649.98 = 4,652.03/x
  3. Step 3: Cross multiply
    9,106.82x = 13,649.98 × 4,652.03
  4. Step 4: Simplify right side
    9,106.82x = 63,500,036.58
  5. Step 5: Solve for x
    x = 63,500,036.58/9,106.82
  6. Step 6: Final answer
    x = 6,972.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.