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Finding the Fourth Proportional to 6,564.06, 9,776.46 and 6,532.26

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Solution

The fourth proportional to 6,564.06, 9,776.46 and 6,532.26 is: 9,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.06 : 9,776.46 = 6,532.26 : x
  2. Step 2: Convert to fraction form
    6,564.06/9,776.46 = 6,532.26/x
  3. Step 3: Cross multiply
    6,564.06x = 9,776.46 × 6,532.26
  4. Step 4: Simplify right side
    6,564.06x = 63,862,378.60
  5. Step 5: Solve for x
    x = 63,862,378.60/6,564.06
  6. Step 6: Final answer
    x = 9,729.10

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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.