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Finding the Fourth Proportional to 9,702.76, 14,550.48 and 3,127.98

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Solution

The fourth proportional to 9,702.76, 14,550.48 and 3,127.98 is: 4,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.76 : 14,550.48 = 3,127.98 : x
  2. Step 2: Convert to fraction form
    9,702.76/14,550.48 = 3,127.98/x
  3. Step 3: Cross multiply
    9,702.76x = 14,550.48 × 3,127.98
  4. Step 4: Simplify right side
    9,702.76x = 45,513,610.43
  5. Step 5: Solve for x
    x = 45,513,610.43/9,702.76
  6. Step 6: Final answer
    x = 4,690.79

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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.