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Finding the Fourth Proportional to 35,503.68, 53,255.68 and 9,206.56

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Solution

The fourth proportional to 35,503.68, 53,255.68 and 9,206.56 is: 13,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,503.68 : 53,255.68 = 9,206.56 : x
  2. Step 2: Convert to fraction form
    35,503.68/53,255.68 = 9,206.56/x
  3. Step 3: Cross multiply
    35,503.68x = 53,255.68 × 9,206.56
  4. Step 4: Simplify right side
    35,503.68x = 490,301,613.26
  5. Step 5: Solve for x
    x = 490,301,613.26/35,503.68
  6. Step 6: Final answer
    x = 13,809.88

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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.