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Finding the Fourth Proportional to 9,258.69, 13,881.86 and 5,100.69

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Solution

The fourth proportional to 9,258.69, 13,881.86 and 5,100.69 is: 7,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.69 : 13,881.86 = 5,100.69 : x
  2. Step 2: Convert to fraction form
    9,258.69/13,881.86 = 5,100.69/x
  3. Step 3: Cross multiply
    9,258.69x = 13,881.86 × 5,100.69
  4. Step 4: Simplify right side
    9,258.69x = 70,807,038.98
  5. Step 5: Solve for x
    x = 70,807,038.98/9,258.69
  6. Step 6: Final answer
    x = 7,647.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.