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Finding the Fourth Proportional to 9,263.94, 12,783.04 and 5,284.81

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Solution

The fourth proportional to 9,263.94, 12,783.04 and 5,284.81 is: 7,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.94 : 12,783.04 = 5,284.81 : x
  2. Step 2: Convert to fraction form
    9,263.94/12,783.04 = 5,284.81/x
  3. Step 3: Cross multiply
    9,263.94x = 12,783.04 × 5,284.81
  4. Step 4: Simplify right side
    9,263.94x = 67,555,937.62
  5. Step 5: Solve for x
    x = 67,555,937.62/9,263.94
  6. Step 6: Final answer
    x = 7,292.35

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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.