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Finding the Fourth Proportional to 9,640.55, 14,444.30 and 6,472.06

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Solution

The fourth proportional to 9,640.55, 14,444.30 and 6,472.06 is: 9,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.55 : 14,444.30 = 6,472.06 : x
  2. Step 2: Convert to fraction form
    9,640.55/14,444.30 = 6,472.06/x
  3. Step 3: Cross multiply
    9,640.55x = 14,444.30 × 6,472.06
  4. Step 4: Simplify right side
    9,640.55x = 93,484,356.33
  5. Step 5: Solve for x
    x = 93,484,356.33/9,640.55
  6. Step 6: Final answer
    x = 9,696.99

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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.