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Finding the Fourth Proportional to 6,505.16, 9,763.20 and 3,386.25

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Solution

The fourth proportional to 6,505.16, 9,763.20 and 3,386.25 is: 5,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.16 : 9,763.20 = 3,386.25 : x
  2. Step 2: Convert to fraction form
    6,505.16/9,763.20 = 3,386.25/x
  3. Step 3: Cross multiply
    6,505.16x = 9,763.20 × 3,386.25
  4. Step 4: Simplify right side
    6,505.16x = 33,060,636.00
  5. Step 5: Solve for x
    x = 33,060,636.00/6,505.16
  6. Step 6: Final answer
    x = 5,082.22

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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.