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Finding the Fourth Proportional to 37,984.79, 56,977.20 and 9,904.77

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Solution

The fourth proportional to 37,984.79, 56,977.20 and 9,904.77 is: 14,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984.79 : 56,977.20 = 9,904.77 : x
  2. Step 2: Convert to fraction form
    37,984.79/56,977.20 = 9,904.77/x
  3. Step 3: Cross multiply
    37,984.79x = 56,977.20 × 9,904.77
  4. Step 4: Simplify right side
    37,984.79x = 564,346,061.24
  5. Step 5: Solve for x
    x = 564,346,061.24/37,984.79
  6. Step 6: Final answer
    x = 14,857.16

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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.