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Finding the Fourth Proportional to 9,612.64, 13,267.86 and 5,423.32

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Solution

The fourth proportional to 9,612.64, 13,267.86 and 5,423.32 is: 7,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.64 : 13,267.86 = 5,423.32 : x
  2. Step 2: Convert to fraction form
    9,612.64/13,267.86 = 5,423.32/x
  3. Step 3: Cross multiply
    9,612.64x = 13,267.86 × 5,423.32
  4. Step 4: Simplify right side
    9,612.64x = 71,955,850.50
  5. Step 5: Solve for x
    x = 71,955,850.50/9,612.64
  6. Step 6: Final answer
    x = 7,485.55

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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.