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Finding the Fourth Proportional to 9,364.64, 14,052.36 and 5,204.30

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Solution

The fourth proportional to 9,364.64, 14,052.36 and 5,204.30 is: 7,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.64 : 14,052.36 = 5,204.30 : x
  2. Step 2: Convert to fraction form
    9,364.64/14,052.36 = 5,204.30/x
  3. Step 3: Cross multiply
    9,364.64x = 14,052.36 × 5,204.30
  4. Step 4: Simplify right side
    9,364.64x = 73,132,626.89
  5. Step 5: Solve for x
    x = 73,132,626.89/9,364.64
  6. Step 6: Final answer
    x = 7,809.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.