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Finding the Fourth Proportional to 9,594.58, 14,389.62 and 3,670.24

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Solution

The fourth proportional to 9,594.58, 14,389.62 and 3,670.24 is: 5,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.58 : 14,389.62 = 3,670.24 : x
  2. Step 2: Convert to fraction form
    9,594.58/14,389.62 = 3,670.24/x
  3. Step 3: Cross multiply
    9,594.58x = 14,389.62 × 3,670.24
  4. Step 4: Simplify right side
    9,594.58x = 52,813,358.91
  5. Step 5: Solve for x
    x = 52,813,358.91/9,594.58
  6. Step 6: Final answer
    x = 5,504.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.