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Finding the Fourth Proportional to 9,263.49, 12,783.06 and 5,283.96

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Solution

The fourth proportional to 9,263.49, 12,783.06 and 5,283.96 is: 7,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.49 : 12,783.06 = 5,283.96 : x
  2. Step 2: Convert to fraction form
    9,263.49/12,783.06 = 5,283.96/x
  3. Step 3: Cross multiply
    9,263.49x = 12,783.06 × 5,283.96
  4. Step 4: Simplify right side
    9,263.49x = 67,545,177.72
  5. Step 5: Solve for x
    x = 67,545,177.72/9,263.49
  6. Step 6: Final answer
    x = 7,291.55

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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.