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Finding the Fourth Proportional to 9,607.69, 13,258.70 and 5,358.61

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Solution

The fourth proportional to 9,607.69, 13,258.70 and 5,358.61 is: 7,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.69 : 13,258.70 = 5,358.61 : x
  2. Step 2: Convert to fraction form
    9,607.69/13,258.70 = 5,358.61/x
  3. Step 3: Cross multiply
    9,607.69x = 13,258.70 × 5,358.61
  4. Step 4: Simplify right side
    9,607.69x = 71,048,175.61
  5. Step 5: Solve for x
    x = 71,048,175.61/9,607.69
  6. Step 6: Final answer
    x = 7,394.93

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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.