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Finding the Fourth Proportional to 35,800.46, 53,696.56 and 9,507.26

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Solution

The fourth proportional to 35,800.46, 53,696.56 and 9,507.26 is: 14,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.46 : 53,696.56 = 9,507.26 : x
  2. Step 2: Convert to fraction form
    35,800.46/53,696.56 = 9,507.26/x
  3. Step 3: Cross multiply
    35,800.46x = 53,696.56 × 9,507.26
  4. Step 4: Simplify right side
    35,800.46x = 510,507,157.03
  5. Step 5: Solve for x
    x = 510,507,157.03/35,800.46
  6. Step 6: Final answer
    x = 14,259.79

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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.