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Finding the Fourth Proportional to 6,571.68, 9,783.12 and 6,532.80

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Solution

The fourth proportional to 6,571.68, 9,783.12 and 6,532.80 is: 9,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.68 : 9,783.12 = 6,532.80 : x
  2. Step 2: Convert to fraction form
    6,571.68/9,783.12 = 6,532.80/x
  3. Step 3: Cross multiply
    6,571.68x = 9,783.12 × 6,532.80
  4. Step 4: Simplify right side
    6,571.68x = 63,911,166.34
  5. Step 5: Solve for x
    x = 63,911,166.34/6,571.68
  6. Step 6: Final answer
    x = 9,725.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.