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Finding the Fourth Proportional to 9,594.57, 14,392.02 and 2,931.21

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Solution

The fourth proportional to 9,594.57, 14,392.02 and 2,931.21 is: 4,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.57 : 14,392.02 = 2,931.21 : x
  2. Step 2: Convert to fraction form
    9,594.57/14,392.02 = 2,931.21/x
  3. Step 3: Cross multiply
    9,594.57x = 14,392.02 × 2,931.21
  4. Step 4: Simplify right side
    9,594.57x = 42,186,032.94
  5. Step 5: Solve for x
    x = 42,186,032.94/9,594.57
  6. Step 6: Final answer
    x = 4,396.87

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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.