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Finding the Fourth Proportional to 6,089.10, 9,133.65 and 5,117.10

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Solution

The fourth proportional to 6,089.10, 9,133.65 and 5,117.10 is: 7,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.10 : 9,133.65 = 5,117.10 : x
  2. Step 2: Convert to fraction form
    6,089.10/9,133.65 = 5,117.10/x
  3. Step 3: Cross multiply
    6,089.10x = 9,133.65 × 5,117.10
  4. Step 4: Simplify right side
    6,089.10x = 46,737,800.42
  5. Step 5: Solve for x
    x = 46,737,800.42/6,089.10
  6. Step 6: Final answer
    x = 7,675.65

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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.