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Finding the Fourth Proportional to 9,653.06, 13,318.78 and 5,673.40

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Solution

The fourth proportional to 9,653.06, 13,318.78 and 5,673.40 is: 7,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.06 : 13,318.78 = 5,673.40 : x
  2. Step 2: Convert to fraction form
    9,653.06/13,318.78 = 5,673.40/x
  3. Step 3: Cross multiply
    9,653.06x = 13,318.78 × 5,673.40
  4. Step 4: Simplify right side
    9,653.06x = 75,562,766.45
  5. Step 5: Solve for x
    x = 75,562,766.45/9,653.06
  6. Step 6: Final answer
    x = 7,827.86

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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.