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Finding the Fourth Proportional to 9,323.64, 13,969.32 and 6,545.04

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Solution

The fourth proportional to 9,323.64, 13,969.32 and 6,545.04 is: 9,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.64 : 13,969.32 = 6,545.04 : x
  2. Step 2: Convert to fraction form
    9,323.64/13,969.32 = 6,545.04/x
  3. Step 3: Cross multiply
    9,323.64x = 13,969.32 × 6,545.04
  4. Step 4: Simplify right side
    9,323.64x = 91,429,758.17
  5. Step 5: Solve for x
    x = 91,429,758.17/9,323.64
  6. Step 6: Final answer
    x = 9,806.23

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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.