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Finding the Fourth Proportional to 9,671.52, 14,504.62 and 3,430.70

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Solution

The fourth proportional to 9,671.52, 14,504.62 and 3,430.70 is: 5,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.52 : 14,504.62 = 3,430.70 : x
  2. Step 2: Convert to fraction form
    9,671.52/14,504.62 = 3,430.70/x
  3. Step 3: Cross multiply
    9,671.52x = 14,504.62 × 3,430.70
  4. Step 4: Simplify right side
    9,671.52x = 49,760,999.83
  5. Step 5: Solve for x
    x = 49,760,999.83/9,671.52
  6. Step 6: Final answer
    x = 5,145.11

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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.