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Finding the Fourth Proportional to 9,477.77, 13,084.61 and 6,653.81

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Solution

The fourth proportional to 9,477.77, 13,084.61 and 6,653.81 is: 9,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.77 : 13,084.61 = 6,653.81 : x
  2. Step 2: Convert to fraction form
    9,477.77/13,084.61 = 6,653.81/x
  3. Step 3: Cross multiply
    9,477.77x = 13,084.61 × 6,653.81
  4. Step 4: Simplify right side
    9,477.77x = 87,062,475.60
  5. Step 5: Solve for x
    x = 87,062,475.60/9,477.77
  6. Step 6: Final answer
    x = 9,185.97

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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.