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Finding the Fourth Proportional to 9,671.72, 14,510.56 and 8,550.90

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Solution

The fourth proportional to 9,671.72, 14,510.56 and 8,550.90 is: 12,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.72 : 14,510.56 = 8,550.90 : x
  2. Step 2: Convert to fraction form
    9,671.72/14,510.56 = 8,550.90/x
  3. Step 3: Cross multiply
    9,671.72x = 14,510.56 × 8,550.90
  4. Step 4: Simplify right side
    9,671.72x = 124,078,347.50
  5. Step 5: Solve for x
    x = 124,078,347.50/9,671.72
  6. Step 6: Final answer
    x = 12,828.98

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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.