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Finding the Fourth Proportional to 37,603.64, 56,405.59 and 9,523.69

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Solution

The fourth proportional to 37,603.64, 56,405.59 and 9,523.69 is: 14,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,603.64 : 56,405.59 = 9,523.69 : x
  2. Step 2: Convert to fraction form
    37,603.64/56,405.59 = 9,523.69/x
  3. Step 3: Cross multiply
    37,603.64x = 56,405.59 × 9,523.69
  4. Step 4: Simplify right side
    37,603.64x = 537,189,353.43
  5. Step 5: Solve for x
    x = 537,189,353.43/37,603.64
  6. Step 6: Final answer
    x = 14,285.57

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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.