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Finding the Fourth Proportional to 9,434.78, 14,154 and 3,590.94

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Solution

The fourth proportional to 9,434.78, 14,154 and 3,590.94 is: 5,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.78 : 14,154 = 3,590.94 : x
  2. Step 2: Convert to fraction form
    9,434.78/14,154 = 3,590.94/x
  3. Step 3: Cross multiply
    9,434.78x = 14,154 × 3,590.94
  4. Step 4: Simplify right side
    9,434.78x = 50,826,164.76
  5. Step 5: Solve for x
    x = 50,826,164.76/9,434.78
  6. Step 6: Final answer
    x = 5,387.11

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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.