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Finding the Fourth Proportional to 9,744.36, 14,594.64 and 9,416.34

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Solution

The fourth proportional to 9,744.36, 14,594.64 and 9,416.34 is: 14,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.36 : 14,594.64 = 9,416.34 : x
  2. Step 2: Convert to fraction form
    9,744.36/14,594.64 = 9,416.34/x
  3. Step 3: Cross multiply
    9,744.36x = 14,594.64 × 9,416.34
  4. Step 4: Simplify right side
    9,744.36x = 137,428,092.42
  5. Step 5: Solve for x
    x = 137,428,092.42/9,744.36
  6. Step 6: Final answer
    x = 14,103.35

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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.