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Finding the Fourth Proportional to 9,573, 14,360.04 and 3,417

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Solution

The fourth proportional to 9,573, 14,360.04 and 3,417 is: 5,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573 : 14,360.04 = 3,417 : x
  2. Step 2: Convert to fraction form
    9,573/14,360.04 = 3,417/x
  3. Step 3: Cross multiply
    9,573x = 14,360.04 × 3,417
  4. Step 4: Simplify right side
    9,573x = 49,068,256.68
  5. Step 5: Solve for x
    x = 49,068,256.68/9,573
  6. Step 6: Final answer
    x = 5,125.69

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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.