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Finding the Fourth Proportional to 37,607.86, 56,411.35 and 9,144.98

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Solution

The fourth proportional to 37,607.86, 56,411.35 and 9,144.98 is: 13,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,607.86 : 56,411.35 = 9,144.98 : x
  2. Step 2: Convert to fraction form
    37,607.86/56,411.35 = 9,144.98/x
  3. Step 3: Cross multiply
    37,607.86x = 56,411.35 × 9,144.98
  4. Step 4: Simplify right side
    37,607.86x = 515,880,667.52
  5. Step 5: Solve for x
    x = 515,880,667.52/37,607.86
  6. Step 6: Final answer
    x = 13,717.36

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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.