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Finding the Fourth Proportional to 9,919.68, 14,869.02 and 3,590.32

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Solution

The fourth proportional to 9,919.68, 14,869.02 and 3,590.32 is: 5,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.68 : 14,869.02 = 3,590.32 : x
  2. Step 2: Convert to fraction form
    9,919.68/14,869.02 = 3,590.32/x
  3. Step 3: Cross multiply
    9,919.68x = 14,869.02 × 3,590.32
  4. Step 4: Simplify right side
    9,919.68x = 53,384,539.89
  5. Step 5: Solve for x
    x = 53,384,539.89/9,919.68
  6. Step 6: Final answer
    x = 5,381.68

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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.