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Finding the Fourth Proportional to 9,934.34, 14,887.53 and 7,845.14

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Solution

The fourth proportional to 9,934.34, 14,887.53 and 7,845.14 is: 11,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.34 : 14,887.53 = 7,845.14 : x
  2. Step 2: Convert to fraction form
    9,934.34/14,887.53 = 7,845.14/x
  3. Step 3: Cross multiply
    9,934.34x = 14,887.53 × 7,845.14
  4. Step 4: Simplify right side
    9,934.34x = 116,794,794.32
  5. Step 5: Solve for x
    x = 116,794,794.32/9,934.34
  6. Step 6: Final answer
    x = 11,756.68

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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.