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Finding the Fourth Proportional to 9,590.49, 14,382.09 and 3,746.34

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Solution

The fourth proportional to 9,590.49, 14,382.09 and 3,746.34 is: 5,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.49 : 14,382.09 = 3,746.34 : x
  2. Step 2: Convert to fraction form
    9,590.49/14,382.09 = 3,746.34/x
  3. Step 3: Cross multiply
    9,590.49x = 14,382.09 × 3,746.34
  4. Step 4: Simplify right side
    9,590.49x = 53,880,199.05
  5. Step 5: Solve for x
    x = 53,880,199.05/9,590.49
  6. Step 6: Final answer
    x = 5,618.09

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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.