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Finding the Fourth Proportional to 9,717.80, 14,573.10 and 4,095.08

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Solution

The fourth proportional to 9,717.80, 14,573.10 and 4,095.08 is: 6,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.80 : 14,573.10 = 4,095.08 : x
  2. Step 2: Convert to fraction form
    9,717.80/14,573.10 = 4,095.08/x
  3. Step 3: Cross multiply
    9,717.80x = 14,573.10 × 4,095.08
  4. Step 4: Simplify right side
    9,717.80x = 59,678,010.35
  5. Step 5: Solve for x
    x = 59,678,010.35/9,717.80
  6. Step 6: Final answer
    x = 6,141.10

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Why These Related Problems?

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