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Finding the Fourth Proportional to 9,875.62, 14,814.20 and 3,301.84

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Solution

The fourth proportional to 9,875.62, 14,814.20 and 3,301.84 is: 4,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.62 : 14,814.20 = 3,301.84 : x
  2. Step 2: Convert to fraction form
    9,875.62/14,814.20 = 3,301.84/x
  3. Step 3: Cross multiply
    9,875.62x = 14,814.20 × 3,301.84
  4. Step 4: Simplify right side
    9,875.62x = 48,914,118.13
  5. Step 5: Solve for x
    x = 48,914,118.13/9,875.62
  6. Step 6: Final answer
    x = 4,953.02

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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.