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Finding the Fourth Proportional to 9,612.55, 14,323.27 and 8,564.50

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Solution

The fourth proportional to 9,612.55, 14,323.27 and 8,564.50 is: 12,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.55 : 14,323.27 = 8,564.50 : x
  2. Step 2: Convert to fraction form
    9,612.55/14,323.27 = 8,564.50/x
  3. Step 3: Cross multiply
    9,612.55x = 14,323.27 × 8,564.50
  4. Step 4: Simplify right side
    9,612.55x = 122,671,645.92
  5. Step 5: Solve for x
    x = 122,671,645.92/9,612.55
  6. Step 6: Final answer
    x = 12,761.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.