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Finding the Fourth Proportional to 9,718.57, 14,575.42 and 2,793.07

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Solution

The fourth proportional to 9,718.57, 14,575.42 and 2,793.07 is: 4,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.57 : 14,575.42 = 2,793.07 : x
  2. Step 2: Convert to fraction form
    9,718.57/14,575.42 = 2,793.07/x
  3. Step 3: Cross multiply
    9,718.57x = 14,575.42 × 2,793.07
  4. Step 4: Simplify right side
    9,718.57x = 40,710,168.34
  5. Step 5: Solve for x
    x = 40,710,168.34/9,718.57
  6. Step 6: Final answer
    x = 4,188.91

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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.