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Finding the Fourth Proportional to 9,854.09, 13,598.97 and 5,605.04

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Solution

The fourth proportional to 9,854.09, 13,598.97 and 5,605.04 is: 7,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.09 : 13,598.97 = 5,605.04 : x
  2. Step 2: Convert to fraction form
    9,854.09/13,598.97 = 5,605.04/x
  3. Step 3: Cross multiply
    9,854.09x = 13,598.97 × 5,605.04
  4. Step 4: Simplify right side
    9,854.09x = 76,222,776.78
  5. Step 5: Solve for x
    x = 76,222,776.78/9,854.09
  6. Step 6: Final answer
    x = 7,735.14

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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.