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Finding the Fourth Proportional to 6,285.26, 9,427.88 and 1,605.10

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Solution

The fourth proportional to 6,285.26, 9,427.88 and 1,605.10 is: 2,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.26 : 9,427.88 = 1,605.10 : x
  2. Step 2: Convert to fraction form
    6,285.26/9,427.88 = 1,605.10/x
  3. Step 3: Cross multiply
    6,285.26x = 9,427.88 × 1,605.10
  4. Step 4: Simplify right side
    6,285.26x = 15,132,670.63
  5. Step 5: Solve for x
    x = 15,132,670.63/6,285.26
  6. Step 6: Final answer
    x = 2,407.65

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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.