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Finding the Fourth Proportional to 9,585.09, 13,223.67 and 7,073.24

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Solution

The fourth proportional to 9,585.09, 13,223.67 and 7,073.24 is: 9,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.09 : 13,223.67 = 7,073.24 : x
  2. Step 2: Convert to fraction form
    9,585.09/13,223.67 = 7,073.24/x
  3. Step 3: Cross multiply
    9,585.09x = 13,223.67 × 7,073.24
  4. Step 4: Simplify right side
    9,585.09x = 93,534,125.47
  5. Step 5: Solve for x
    x = 93,534,125.47/9,585.09
  6. Step 6: Final answer
    x = 9,758.29

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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.