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Finding the Fourth Proportional to 9,477.81, 13,084.34 and 6,653.75

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Solution

The fourth proportional to 9,477.81, 13,084.34 and 6,653.75 is: 9,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.81 : 13,084.34 = 6,653.75 : x
  2. Step 2: Convert to fraction form
    9,477.81/13,084.34 = 6,653.75/x
  3. Step 3: Cross multiply
    9,477.81x = 13,084.34 × 6,653.75
  4. Step 4: Simplify right side
    9,477.81x = 87,059,828.58
  5. Step 5: Solve for x
    x = 87,059,828.58/9,477.81
  6. Step 6: Final answer
    x = 9,185.65

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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.