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Finding the Fourth Proportional to 9,148.51, 13,728.21 and 8,404.93

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Solution

The fourth proportional to 9,148.51, 13,728.21 and 8,404.93 is: 12,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.51 : 13,728.21 = 8,404.93 : x
  2. Step 2: Convert to fraction form
    9,148.51/13,728.21 = 8,404.93/x
  3. Step 3: Cross multiply
    9,148.51x = 13,728.21 × 8,404.93
  4. Step 4: Simplify right side
    9,148.51x = 115,384,644.08
  5. Step 5: Solve for x
    x = 115,384,644.08/9,148.51
  6. Step 6: Final answer
    x = 12,612.40

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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.