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Finding the Fourth Proportional to 37,507.64, 56,261.55 and 9,427.76

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Solution

The fourth proportional to 37,507.64, 56,261.55 and 9,427.76 is: 14,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.64 : 56,261.55 = 9,427.76 : x
  2. Step 2: Convert to fraction form
    37,507.64/56,261.55 = 9,427.76/x
  3. Step 3: Cross multiply
    37,507.64x = 56,261.55 × 9,427.76
  4. Step 4: Simplify right side
    37,507.64x = 530,420,390.63
  5. Step 5: Solve for x
    x = 530,420,390.63/37,507.64
  6. Step 6: Final answer
    x = 14,141.66

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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.