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Finding the Fourth Proportional to 6,405.75, 9,603.95 and 4,320.57

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Solution

The fourth proportional to 6,405.75, 9,603.95 and 4,320.57 is: 6,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.75 : 9,603.95 = 4,320.57 : x
  2. Step 2: Convert to fraction form
    6,405.75/9,603.95 = 4,320.57/x
  3. Step 3: Cross multiply
    6,405.75x = 9,603.95 × 4,320.57
  4. Step 4: Simplify right side
    6,405.75x = 41,494,516.65
  5. Step 5: Solve for x
    x = 41,494,516.65/6,405.75
  6. Step 6: Final answer
    x = 6,477.70

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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.