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Finding the Fourth Proportional to 37,564.75, 56,347.53 and 9,862.75

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Solution

The fourth proportional to 37,564.75, 56,347.53 and 9,862.75 is: 14,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.75 : 56,347.53 = 9,862.75 : x
  2. Step 2: Convert to fraction form
    37,564.75/56,347.53 = 9,862.75/x
  3. Step 3: Cross multiply
    37,564.75x = 56,347.53 × 9,862.75
  4. Step 4: Simplify right side
    37,564.75x = 555,741,601.51
  5. Step 5: Solve for x
    x = 555,741,601.51/37,564.75
  6. Step 6: Final answer
    x = 14,794.23

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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.