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Finding the Fourth Proportional to 9,861.48, 13,605.54 and 6,135.24

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Solution

The fourth proportional to 9,861.48, 13,605.54 and 6,135.24 is: 8,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.48 : 13,605.54 = 6,135.24 : x
  2. Step 2: Convert to fraction form
    9,861.48/13,605.54 = 6,135.24/x
  3. Step 3: Cross multiply
    9,861.48x = 13,605.54 × 6,135.24
  4. Step 4: Simplify right side
    9,861.48x = 83,473,253.23
  5. Step 5: Solve for x
    x = 83,473,253.23/9,861.48
  6. Step 6: Final answer
    x = 8,464.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.