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Finding the Fourth Proportional to 9,887.94, 14,830.59 and 3,314.18

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Solution

The fourth proportional to 9,887.94, 14,830.59 and 3,314.18 is: 4,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.94 : 14,830.59 = 3,314.18 : x
  2. Step 2: Convert to fraction form
    9,887.94/14,830.59 = 3,314.18/x
  3. Step 3: Cross multiply
    9,887.94x = 14,830.59 × 3,314.18
  4. Step 4: Simplify right side
    9,887.94x = 49,151,294.27
  5. Step 5: Solve for x
    x = 49,151,294.27/9,887.94
  6. Step 6: Final answer
    x = 4,970.83

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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.