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Finding the Fourth Proportional to 37,657.60, 56,486.40 and 9,577.60

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Solution

The fourth proportional to 37,657.60, 56,486.40 and 9,577.60 is: 14,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.60 : 56,486.40 = 9,577.60 : x
  2. Step 2: Convert to fraction form
    37,657.60/56,486.40 = 9,577.60/x
  3. Step 3: Cross multiply
    37,657.60x = 56,486.40 × 9,577.60
  4. Step 4: Simplify right side
    37,657.60x = 541,004,144.64
  5. Step 5: Solve for x
    x = 541,004,144.64/37,657.60
  6. Step 6: Final answer
    x = 14,366.40

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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.