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Finding the Fourth Proportional to 9,756.93, 13,478.35 and 7,764.93

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Solution

The fourth proportional to 9,756.93, 13,478.35 and 7,764.93 is: 10,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.93 : 13,478.35 = 7,764.93 : x
  2. Step 2: Convert to fraction form
    9,756.93/13,478.35 = 7,764.93/x
  3. Step 3: Cross multiply
    9,756.93x = 13,478.35 × 7,764.93
  4. Step 4: Simplify right side
    9,756.93x = 104,658,444.27
  5. Step 5: Solve for x
    x = 104,658,444.27/9,756.93
  6. Step 6: Final answer
    x = 10,726.58

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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.