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Finding the Fourth Proportional to 9,295.61, 13,919.65 and 5,131.00

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Solution

The fourth proportional to 9,295.61, 13,919.65 and 5,131.00 is: 7,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.61 : 13,919.65 = 5,131.00 : x
  2. Step 2: Convert to fraction form
    9,295.61/13,919.65 = 5,131.00/x
  3. Step 3: Cross multiply
    9,295.61x = 13,919.65 × 5,131.00
  4. Step 4: Simplify right side
    9,295.61x = 71,421,713.16
  5. Step 5: Solve for x
    x = 71,421,713.16/9,295.61
  6. Step 6: Final answer
    x = 7,683.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.