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Finding the Fourth Proportional to 9,742.44, 14,617.32 and 5,849.64

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Solution

The fourth proportional to 9,742.44, 14,617.32 and 5,849.64 is: 8,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.44 : 14,617.32 = 5,849.64 : x
  2. Step 2: Convert to fraction form
    9,742.44/14,617.32 = 5,849.64/x
  3. Step 3: Cross multiply
    9,742.44x = 14,617.32 × 5,849.64
  4. Step 4: Simplify right side
    9,742.44x = 85,506,059.76
  5. Step 5: Solve for x
    x = 85,506,059.76/9,742.44
  6. Step 6: Final answer
    x = 8,776.66

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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.