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Finding the Fourth Proportional to 9,756.36, 13,449.74 and 6,957

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Solution

The fourth proportional to 9,756.36, 13,449.74 and 6,957 is: 9,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.36 : 13,449.74 = 6,957 : x
  2. Step 2: Convert to fraction form
    9,756.36/13,449.74 = 6,957/x
  3. Step 3: Cross multiply
    9,756.36x = 13,449.74 × 6,957
  4. Step 4: Simplify right side
    9,756.36x = 93,569,806.40
  5. Step 5: Solve for x
    x = 93,569,806.40/9,756.36
  6. Step 6: Final answer
    x = 9,590.65

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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.