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Finding the Fourth Proportional to 9,735.85, 13,432.80 and 5,646.16

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Solution

The fourth proportional to 9,735.85, 13,432.80 and 5,646.16 is: 7,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.85 : 13,432.80 = 5,646.16 : x
  2. Step 2: Convert to fraction form
    9,735.85/13,432.80 = 5,646.16/x
  3. Step 3: Cross multiply
    9,735.85x = 13,432.80 × 5,646.16
  4. Step 4: Simplify right side
    9,735.85x = 75,843,738.05
  5. Step 5: Solve for x
    x = 75,843,738.05/9,735.85
  6. Step 6: Final answer
    x = 7,790.15

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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.