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Finding the Fourth Proportional to 37,649.60, 56,474.40 and 9,569.60

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Solution

The fourth proportional to 37,649.60, 56,474.40 and 9,569.60 is: 14,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.60 : 56,474.40 = 9,569.60 : x
  2. Step 2: Convert to fraction form
    37,649.60/56,474.40 = 9,569.60/x
  3. Step 3: Cross multiply
    37,649.60x = 56,474.40 × 9,569.60
  4. Step 4: Simplify right side
    37,649.60x = 540,437,418.24
  5. Step 5: Solve for x
    x = 540,437,418.24/37,649.60
  6. Step 6: Final answer
    x = 14,354.40

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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.