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Finding the Fourth Proportional to 9,442.14, 14,153.65 and 5,934.63

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Solution

The fourth proportional to 9,442.14, 14,153.65 and 5,934.63 is: 8,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.14 : 14,153.65 = 5,934.63 : x
  2. Step 2: Convert to fraction form
    9,442.14/14,153.65 = 5,934.63/x
  3. Step 3: Cross multiply
    9,442.14x = 14,153.65 × 5,934.63
  4. Step 4: Simplify right side
    9,442.14x = 83,996,662.77
  5. Step 5: Solve for x
    x = 83,996,662.77/9,442.14
  6. Step 6: Final answer
    x = 8,895.93

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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.