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Finding the Fourth Proportional to 9,106.12, 13,649.44 and 6,501.16

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Solution

The fourth proportional to 9,106.12, 13,649.44 and 6,501.16 is: 9,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.12 : 13,649.44 = 6,501.16 : x
  2. Step 2: Convert to fraction form
    9,106.12/13,649.44 = 6,501.16/x
  3. Step 3: Cross multiply
    9,106.12x = 13,649.44 × 6,501.16
  4. Step 4: Simplify right side
    9,106.12x = 88,737,193.35
  5. Step 5: Solve for x
    x = 88,737,193.35/9,106.12
  6. Step 6: Final answer
    x = 9,744.79

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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.