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Finding the Fourth Proportional to 37,577.60, 56,366.01 and 9,497.09

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Solution

The fourth proportional to 37,577.60, 56,366.01 and 9,497.09 is: 14,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,577.60 : 56,366.01 = 9,497.09 : x
  2. Step 2: Convert to fraction form
    37,577.60/56,366.01 = 9,497.09/x
  3. Step 3: Cross multiply
    37,577.60x = 56,366.01 × 9,497.09
  4. Step 4: Simplify right side
    37,577.60x = 535,312,788.08
  5. Step 5: Solve for x
    x = 535,312,788.08/37,577.60
  6. Step 6: Final answer
    x = 14,245.53

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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.