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Finding the Fourth Proportional to 9,700.96, 13,376.73 and 6,551.68

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Solution

The fourth proportional to 9,700.96, 13,376.73 and 6,551.68 is: 9,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.96 : 13,376.73 = 6,551.68 : x
  2. Step 2: Convert to fraction form
    9,700.96/13,376.73 = 6,551.68/x
  3. Step 3: Cross multiply
    9,700.96x = 13,376.73 × 6,551.68
  4. Step 4: Simplify right side
    9,700.96x = 87,640,054.41
  5. Step 5: Solve for x
    x = 87,640,054.41/9,700.96
  6. Step 6: Final answer
    x = 9,034.16

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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.