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Finding the Fourth Proportional to 9,685.01, 13,364.75 and 5,435.67

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Solution

The fourth proportional to 9,685.01, 13,364.75 and 5,435.67 is: 7,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.01 : 13,364.75 = 5,435.67 : x
  2. Step 2: Convert to fraction form
    9,685.01/13,364.75 = 5,435.67/x
  3. Step 3: Cross multiply
    9,685.01x = 13,364.75 × 5,435.67
  4. Step 4: Simplify right side
    9,685.01x = 72,646,370.63
  5. Step 5: Solve for x
    x = 72,646,370.63/9,685.01
  6. Step 6: Final answer
    x = 7,500.91

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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.