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Finding the Fourth Proportional to 9,259.36, 13,838.08 and 6,765.74

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Solution

The fourth proportional to 9,259.36, 13,838.08 and 6,765.74 is: 10,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.36 : 13,838.08 = 6,765.74 : x
  2. Step 2: Convert to fraction form
    9,259.36/13,838.08 = 6,765.74/x
  3. Step 3: Cross multiply
    9,259.36x = 13,838.08 × 6,765.74
  4. Step 4: Simplify right side
    9,259.36x = 93,624,765.27
  5. Step 5: Solve for x
    x = 93,624,765.27/9,259.36
  6. Step 6: Final answer
    x = 10,111.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.