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Finding the Fourth Proportional to 37,671, 56,507.58 and 9,969

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Solution

The fourth proportional to 37,671, 56,507.58 and 9,969 is: 14,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671 : 56,507.58 = 9,969 : x
  2. Step 2: Convert to fraction form
    37,671/56,507.58 = 9,969/x
  3. Step 3: Cross multiply
    37,671x = 56,507.58 × 9,969
  4. Step 4: Simplify right side
    37,671x = 563,324,065.02
  5. Step 5: Solve for x
    x = 563,324,065.02/37,671
  6. Step 6: Final answer
    x = 14,953.79

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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.