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Finding the Fourth Proportional to 34,441.41, 51,655.26 and 9,475

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Solution

The fourth proportional to 34,441.41, 51,655.26 and 9,475 is: 14,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,441.41 : 51,655.26 = 9,475 : x
  2. Step 2: Convert to fraction form
    34,441.41/51,655.26 = 9,475/x
  3. Step 3: Cross multiply
    34,441.41x = 51,655.26 × 9,475
  4. Step 4: Simplify right side
    34,441.41x = 489,433,588.50
  5. Step 5: Solve for x
    x = 489,433,588.50/34,441.41
  6. Step 6: Final answer
    x = 14,210.61

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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.