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Finding the Fourth Proportional to 9,810.93, 13,544.10 and 7,567.77

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Solution

The fourth proportional to 9,810.93, 13,544.10 and 7,567.77 is: 10,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.93 : 13,544.10 = 7,567.77 : x
  2. Step 2: Convert to fraction form
    9,810.93/13,544.10 = 7,567.77/x
  3. Step 3: Cross multiply
    9,810.93x = 13,544.10 × 7,567.77
  4. Step 4: Simplify right side
    9,810.93x = 102,498,633.66
  5. Step 5: Solve for x
    x = 102,498,633.66/9,810.93
  6. Step 6: Final answer
    x = 10,447.39

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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.