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Finding the Fourth Proportional to 9,237.34, 12,737.83 and 6,089.50

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Solution

The fourth proportional to 9,237.34, 12,737.83 and 6,089.50 is: 8,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.34 : 12,737.83 = 6,089.50 : x
  2. Step 2: Convert to fraction form
    9,237.34/12,737.83 = 6,089.50/x
  3. Step 3: Cross multiply
    9,237.34x = 12,737.83 × 6,089.50
  4. Step 4: Simplify right side
    9,237.34x = 77,567,015.79
  5. Step 5: Solve for x
    x = 77,567,015.79/9,237.34
  6. Step 6: Final answer
    x = 8,397.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.