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Finding the Fourth Proportional to 9,585.42, 13,229.18 and 7,223.46

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Solution

The fourth proportional to 9,585.42, 13,229.18 and 7,223.46 is: 9,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.42 : 13,229.18 = 7,223.46 : x
  2. Step 2: Convert to fraction form
    9,585.42/13,229.18 = 7,223.46/x
  3. Step 3: Cross multiply
    9,585.42x = 13,229.18 × 7,223.46
  4. Step 4: Simplify right side
    9,585.42x = 95,560,416.45
  5. Step 5: Solve for x
    x = 95,560,416.45/9,585.42
  6. Step 6: Final answer
    x = 9,969.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.