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Finding the Fourth Proportional to 9,606.89, 13,258.60 and 5,830.99

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Solution

The fourth proportional to 9,606.89, 13,258.60 and 5,830.99 is: 8,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.89 : 13,258.60 = 5,830.99 : x
  2. Step 2: Convert to fraction form
    9,606.89/13,258.60 = 5,830.99/x
  3. Step 3: Cross multiply
    9,606.89x = 13,258.60 × 5,830.99
  4. Step 4: Simplify right side
    9,606.89x = 77,310,716.29
  5. Step 5: Solve for x
    x = 77,310,716.29/9,606.89
  6. Step 6: Final answer
    x = 8,047.42

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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.