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Finding the Fourth Proportional to 9,704.16, 14,528.88 and 9,393.12

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Solution

The fourth proportional to 9,704.16, 14,528.88 and 9,393.12 is: 14,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.16 : 14,528.88 = 9,393.12 : x
  2. Step 2: Convert to fraction form
    9,704.16/14,528.88 = 9,393.12/x
  3. Step 3: Cross multiply
    9,704.16x = 14,528.88 × 9,393.12
  4. Step 4: Simplify right side
    9,704.16x = 136,471,513.31
  5. Step 5: Solve for x
    x = 136,471,513.31/9,704.16
  6. Step 6: Final answer
    x = 14,063.20

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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.