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Finding the Fourth Proportional to 35,738.89, 53,608.02 and 9,084.95

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Solution

The fourth proportional to 35,738.89, 53,608.02 and 9,084.95 is: 13,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.89 : 53,608.02 = 9,084.95 : x
  2. Step 2: Convert to fraction form
    35,738.89/53,608.02 = 9,084.95/x
  3. Step 3: Cross multiply
    35,738.89x = 53,608.02 × 9,084.95
  4. Step 4: Simplify right side
    35,738.89x = 487,026,080.22
  5. Step 5: Solve for x
    x = 487,026,080.22/35,738.89
  6. Step 6: Final answer
    x = 13,627.34

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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.