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Finding the Fourth Proportional to 9,750.06, 14,627.25 and 5,365.26

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Solution

The fourth proportional to 9,750.06, 14,627.25 and 5,365.26 is: 8,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.06 : 14,627.25 = 5,365.26 : x
  2. Step 2: Convert to fraction form
    9,750.06/14,627.25 = 5,365.26/x
  3. Step 3: Cross multiply
    9,750.06x = 14,627.25 × 5,365.26
  4. Step 4: Simplify right side
    9,750.06x = 78,478,999.34
  5. Step 5: Solve for x
    x = 78,478,999.34/9,750.06
  6. Step 6: Final answer
    x = 8,049.08

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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.