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Finding the Fourth Proportional to 9,649.15, 14,476.46 and 4,972.57

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Solution

The fourth proportional to 9,649.15, 14,476.46 and 4,972.57 is: 7,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.15 : 14,476.46 = 4,972.57 : x
  2. Step 2: Convert to fraction form
    9,649.15/14,476.46 = 4,972.57/x
  3. Step 3: Cross multiply
    9,649.15x = 14,476.46 × 4,972.57
  4. Step 4: Simplify right side
    9,649.15x = 71,985,149.65
  5. Step 5: Solve for x
    x = 71,985,149.65/9,649.15
  6. Step 6: Final answer
    x = 7,460.26

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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.