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Finding the Fourth Proportional to 7,005.93, 9,639.32 and 6,123.84

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Solution

The fourth proportional to 7,005.93, 9,639.32 and 6,123.84 is: 8,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.93 : 9,639.32 = 6,123.84 : x
  2. Step 2: Convert to fraction form
    7,005.93/9,639.32 = 6,123.84/x
  3. Step 3: Cross multiply
    7,005.93x = 9,639.32 × 6,123.84
  4. Step 4: Simplify right side
    7,005.93x = 59,029,622.77
  5. Step 5: Solve for x
    x = 59,029,622.77/7,005.93
  6. Step 6: Final answer
    x = 8,425.67

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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.