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Finding the Fourth Proportional to 9,887.82, 14,830.05 and 4,339.68

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Solution

The fourth proportional to 9,887.82, 14,830.05 and 4,339.68 is: 6,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.82 : 14,830.05 = 4,339.68 : x
  2. Step 2: Convert to fraction form
    9,887.82/14,830.05 = 4,339.68/x
  3. Step 3: Cross multiply
    9,887.82x = 14,830.05 × 4,339.68
  4. Step 4: Simplify right side
    9,887.82x = 64,357,671.38
  5. Step 5: Solve for x
    x = 64,357,671.38/9,887.82
  6. Step 6: Final answer
    x = 6,508.78

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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.