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Finding the Fourth Proportional to 37,735.95, 56,605.85 and 9,656.24

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Solution

The fourth proportional to 37,735.95, 56,605.85 and 9,656.24 is: 14,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735.95 : 56,605.85 = 9,656.24 : x
  2. Step 2: Convert to fraction form
    37,735.95/56,605.85 = 9,656.24/x
  3. Step 3: Cross multiply
    37,735.95x = 56,605.85 × 9,656.24
  4. Step 4: Simplify right side
    37,735.95x = 546,599,624.72
  5. Step 5: Solve for x
    x = 546,599,624.72/37,735.95
  6. Step 6: Final answer
    x = 14,484.85

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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.