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Finding the Fourth Proportional to 9,607.71, 13,258.04 and 5,359.40

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Solution

The fourth proportional to 9,607.71, 13,258.04 and 5,359.40 is: 7,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.71 : 13,258.04 = 5,359.40 : x
  2. Step 2: Convert to fraction form
    9,607.71/13,258.04 = 5,359.40/x
  3. Step 3: Cross multiply
    9,607.71x = 13,258.04 × 5,359.40
  4. Step 4: Simplify right side
    9,607.71x = 71,055,046.49
  5. Step 5: Solve for x
    x = 71,055,046.49/9,607.71
  6. Step 6: Final answer
    x = 7,395.63

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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.