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Finding the Fourth Proportional to 9,714.20, 14,603.70 and 8,288.60

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Solution

The fourth proportional to 9,714.20, 14,603.70 and 8,288.60 is: 12,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.20 : 14,603.70 = 8,288.60 : x
  2. Step 2: Convert to fraction form
    9,714.20/14,603.70 = 8,288.60/x
  3. Step 3: Cross multiply
    9,714.20x = 14,603.70 × 8,288.60
  4. Step 4: Simplify right side
    9,714.20x = 121,044,227.82
  5. Step 5: Solve for x
    x = 121,044,227.82/9,714.20
  6. Step 6: Final answer
    x = 12,460.55

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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.