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Finding the Fourth Proportional to 9,878.15, 14,814.13 and 3,302.80

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Solution

The fourth proportional to 9,878.15, 14,814.13 and 3,302.80 is: 4,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.15 : 14,814.13 = 3,302.80 : x
  2. Step 2: Convert to fraction form
    9,878.15/14,814.13 = 3,302.80/x
  3. Step 3: Cross multiply
    9,878.15x = 14,814.13 × 3,302.80
  4. Step 4: Simplify right side
    9,878.15x = 48,928,108.56
  5. Step 5: Solve for x
    x = 48,928,108.56/9,878.15
  6. Step 6: Final answer
    x = 4,953.17

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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.