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Finding the Fourth Proportional to 9,670.64, 13,344.68 and 5,420.70

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Solution

The fourth proportional to 9,670.64, 13,344.68 and 5,420.70 is: 7,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.64 : 13,344.68 = 5,420.70 : x
  2. Step 2: Convert to fraction form
    9,670.64/13,344.68 = 5,420.70/x
  3. Step 3: Cross multiply
    9,670.64x = 13,344.68 × 5,420.70
  4. Step 4: Simplify right side
    9,670.64x = 72,337,520.43
  5. Step 5: Solve for x
    x = 72,337,520.43/9,670.64
  6. Step 6: Final answer
    x = 7,480.12

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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.