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Finding the Fourth Proportional to 9,741.76, 13,441.44 and 6,599.68

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Solution

The fourth proportional to 9,741.76, 13,441.44 and 6,599.68 is: 9,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.76 : 13,441.44 = 6,599.68 : x
  2. Step 2: Convert to fraction form
    9,741.76/13,441.44 = 6,599.68/x
  3. Step 3: Cross multiply
    9,741.76x = 13,441.44 × 6,599.68
  4. Step 4: Simplify right side
    9,741.76x = 88,709,202.74
  5. Step 5: Solve for x
    x = 88,709,202.74/9,741.76
  6. Step 6: Final answer
    x = 9,106.08

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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.