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Finding the Fourth Proportional to 9,585.92, 14,385.92 and 4,395.36

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Solution

The fourth proportional to 9,585.92, 14,385.92 and 4,395.36 is: 6,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.92 : 14,385.92 = 4,395.36 : x
  2. Step 2: Convert to fraction form
    9,585.92/14,385.92 = 4,395.36/x
  3. Step 3: Cross multiply
    9,585.92x = 14,385.92 × 4,395.36
  4. Step 4: Simplify right side
    9,585.92x = 63,231,297.33
  5. Step 5: Solve for x
    x = 63,231,297.33/9,585.92
  6. Step 6: Final answer
    x = 6,596.27

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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.