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Finding the Fourth Proportional to 7,037.75, 9,706.13 and 4,345.72

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Solution

The fourth proportional to 7,037.75, 9,706.13 and 4,345.72 is: 5,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.75 : 9,706.13 = 4,345.72 : x
  2. Step 2: Convert to fraction form
    7,037.75/9,706.13 = 4,345.72/x
  3. Step 3: Cross multiply
    7,037.75x = 9,706.13 × 4,345.72
  4. Step 4: Simplify right side
    7,037.75x = 42,180,093.57
  5. Step 5: Solve for x
    x = 42,180,093.57/7,037.75
  6. Step 6: Final answer
    x = 5,993.40

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Why These Related Problems?

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