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Finding the Fourth Proportional to 9,750.06, 14,627.26 and 4,553.10

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Solution

The fourth proportional to 9,750.06, 14,627.26 and 4,553.10 is: 6,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.06 : 14,627.26 = 4,553.10 : x
  2. Step 2: Convert to fraction form
    9,750.06/14,627.26 = 4,553.10/x
  3. Step 3: Cross multiply
    9,750.06x = 14,627.26 × 4,553.10
  4. Step 4: Simplify right side
    9,750.06x = 66,599,377.51
  5. Step 5: Solve for x
    x = 66,599,377.51/9,750.06
  6. Step 6: Final answer
    x = 6,830.66

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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.