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Finding the Fourth Proportional to 6,436.20, 9,670.52 and 4,097.28

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Solution

The fourth proportional to 6,436.20, 9,670.52 and 4,097.28 is: 6,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.20 : 9,670.52 = 4,097.28 : x
  2. Step 2: Convert to fraction form
    6,436.20/9,670.52 = 4,097.28/x
  3. Step 3: Cross multiply
    6,436.20x = 9,670.52 × 4,097.28
  4. Step 4: Simplify right side
    6,436.20x = 39,622,828.19
  5. Step 5: Solve for x
    x = 39,622,828.19/6,436.20
  6. Step 6: Final answer
    x = 6,156.25

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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.