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Finding the Fourth Proportional to 9,977.13, 14,965.73 and 4,052.93

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Solution

The fourth proportional to 9,977.13, 14,965.73 and 4,052.93 is: 6,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.13 : 14,965.73 = 4,052.93 : x
  2. Step 2: Convert to fraction form
    9,977.13/14,965.73 = 4,052.93/x
  3. Step 3: Cross multiply
    9,977.13x = 14,965.73 × 4,052.93
  4. Step 4: Simplify right side
    9,977.13x = 60,655,088.44
  5. Step 5: Solve for x
    x = 60,655,088.44/9,977.13
  6. Step 6: Final answer
    x = 6,079.41

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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.