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Finding the Fourth Proportional to 37,205.64, 55,809.98 and 9,504.36

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Solution

The fourth proportional to 37,205.64, 55,809.98 and 9,504.36 is: 14,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.64 : 55,809.98 = 9,504.36 : x
  2. Step 2: Convert to fraction form
    37,205.64/55,809.98 = 9,504.36/x
  3. Step 3: Cross multiply
    37,205.64x = 55,809.98 × 9,504.36
  4. Step 4: Simplify right side
    37,205.64x = 530,438,141.51
  5. Step 5: Solve for x
    x = 530,438,141.51/37,205.64
  6. Step 6: Final answer
    x = 14,256.93

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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.