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Finding the Fourth Proportional to 7,038.06, 9,725.37 and 6,696.45

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Solution

The fourth proportional to 7,038.06, 9,725.37 and 6,696.45 is: 9,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.06 : 9,725.37 = 6,696.45 : x
  2. Step 2: Convert to fraction form
    7,038.06/9,725.37 = 6,696.45/x
  3. Step 3: Cross multiply
    7,038.06x = 9,725.37 × 6,696.45
  4. Step 4: Simplify right side
    7,038.06x = 65,125,453.94
  5. Step 5: Solve for x
    x = 65,125,453.94/7,038.06
  6. Step 6: Final answer
    x = 9,253.32

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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.