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Finding the Fourth Proportional to 9,643.64, 14,445.66 and 6,674.72

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Solution

The fourth proportional to 9,643.64, 14,445.66 and 6,674.72 is: 9,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.64 : 14,445.66 = 6,674.72 : x
  2. Step 2: Convert to fraction form
    9,643.64/14,445.66 = 6,674.72/x
  3. Step 3: Cross multiply
    9,643.64x = 14,445.66 × 6,674.72
  4. Step 4: Simplify right side
    9,643.64x = 96,420,735.72
  5. Step 5: Solve for x
    x = 96,420,735.72/9,643.64
  6. Step 6: Final answer
    x = 9,998.38

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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.