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Finding the Fourth Proportional to 9,742.30, 14,596.14 and 6,649.18

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Solution

The fourth proportional to 9,742.30, 14,596.14 and 6,649.18 is: 9,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.30 : 14,596.14 = 6,649.18 : x
  2. Step 2: Convert to fraction form
    9,742.30/14,596.14 = 6,649.18/x
  3. Step 3: Cross multiply
    9,742.30x = 14,596.14 × 6,649.18
  4. Step 4: Simplify right side
    9,742.30x = 97,052,362.17
  5. Step 5: Solve for x
    x = 97,052,362.17/9,742.30
  6. Step 6: Final answer
    x = 9,961.96

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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.