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Finding the Fourth Proportional to 9,432.96, 13,014.16 and 5,396.84

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Solution

The fourth proportional to 9,432.96, 13,014.16 and 5,396.84 is: 7,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.96 : 13,014.16 = 5,396.84 : x
  2. Step 2: Convert to fraction form
    9,432.96/13,014.16 = 5,396.84/x
  3. Step 3: Cross multiply
    9,432.96x = 13,014.16 × 5,396.84
  4. Step 4: Simplify right side
    9,432.96x = 70,235,339.25
  5. Step 5: Solve for x
    x = 70,235,339.25/9,432.96
  6. Step 6: Final answer
    x = 7,445.74

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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.