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Finding the Fourth Proportional to 9,717.90, 14,573.19 and 3,142.32

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Solution

The fourth proportional to 9,717.90, 14,573.19 and 3,142.32 is: 4,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.90 : 14,573.19 = 3,142.32 : x
  2. Step 2: Convert to fraction form
    9,717.90/14,573.19 = 3,142.32/x
  3. Step 3: Cross multiply
    9,717.90x = 14,573.19 × 3,142.32
  4. Step 4: Simplify right side
    9,717.90x = 45,793,626.40
  5. Step 5: Solve for x
    x = 45,793,626.40/9,717.90
  6. Step 6: Final answer
    x = 4,712.30

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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.