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Finding the Fourth Proportional to 9,344.32, 12,893.70 and 5,364.88

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Solution

The fourth proportional to 9,344.32, 12,893.70 and 5,364.88 is: 7,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.32 : 12,893.70 = 5,364.88 : x
  2. Step 2: Convert to fraction form
    9,344.32/12,893.70 = 5,364.88/x
  3. Step 3: Cross multiply
    9,344.32x = 12,893.70 × 5,364.88
  4. Step 4: Simplify right side
    9,344.32x = 69,173,153.26
  5. Step 5: Solve for x
    x = 69,173,153.26/9,344.32
  6. Step 6: Final answer
    x = 7,402.70

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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.