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Finding the Fourth Proportional to 35,502.24, 53,254.71 and 9,206.28

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Solution

The fourth proportional to 35,502.24, 53,254.71 and 9,206.28 is: 13,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,502.24 : 53,254.71 = 9,206.28 : x
  2. Step 2: Convert to fraction form
    35,502.24/53,254.71 = 9,206.28/x
  3. Step 3: Cross multiply
    35,502.24x = 53,254.71 × 9,206.28
  4. Step 4: Simplify right side
    35,502.24x = 490,277,771.58
  5. Step 5: Solve for x
    x = 490,277,771.58/35,502.24
  6. Step 6: Final answer
    x = 13,809.77

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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.