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Finding the Fourth Proportional to 9,263.94, 13,865.81 and 6,798.17

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Solution

The fourth proportional to 9,263.94, 13,865.81 and 6,798.17 is: 10,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.94 : 13,865.81 = 6,798.17 : x
  2. Step 2: Convert to fraction form
    9,263.94/13,865.81 = 6,798.17/x
  3. Step 3: Cross multiply
    9,263.94x = 13,865.81 × 6,798.17
  4. Step 4: Simplify right side
    9,263.94x = 94,262,030.25
  5. Step 5: Solve for x
    x = 94,262,030.25/9,263.94
  6. Step 6: Final answer
    x = 10,175.16

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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.