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Finding the Fourth Proportional to 37,735.44, 56,605.10 and 9,655.74

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Solution

The fourth proportional to 37,735.44, 56,605.10 and 9,655.74 is: 14,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735.44 : 56,605.10 = 9,655.74 : x
  2. Step 2: Convert to fraction form
    37,735.44/56,605.10 = 9,655.74/x
  3. Step 3: Cross multiply
    37,735.44x = 56,605.10 × 9,655.74
  4. Step 4: Simplify right side
    37,735.44x = 546,564,080.00
  5. Step 5: Solve for x
    x = 546,564,080.00/37,735.44
  6. Step 6: Final answer
    x = 14,484.10

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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.