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Finding the Fourth Proportional to 6,089.19, 9,134.46 and 1,929.39

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Solution

The fourth proportional to 6,089.19, 9,134.46 and 1,929.39 is: 2,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.19 : 9,134.46 = 1,929.39 : x
  2. Step 2: Convert to fraction form
    6,089.19/9,134.46 = 1,929.39/x
  3. Step 3: Cross multiply
    6,089.19x = 9,134.46 × 1,929.39
  4. Step 4: Simplify right side
    6,089.19x = 17,623,935.78
  5. Step 5: Solve for x
    x = 17,623,935.78/6,089.19
  6. Step 6: Final answer
    x = 2,894.30

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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.