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Finding the Fourth Proportional to 9,256.95, 13,887 and 5,098.95

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Solution

The fourth proportional to 9,256.95, 13,887 and 5,098.95 is: 7,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.95 : 13,887 = 5,098.95 : x
  2. Step 2: Convert to fraction form
    9,256.95/13,887 = 5,098.95/x
  3. Step 3: Cross multiply
    9,256.95x = 13,887 × 5,098.95
  4. Step 4: Simplify right side
    9,256.95x = 70,809,118.65
  5. Step 5: Solve for x
    x = 70,809,118.65/9,256.95
  6. Step 6: Final answer
    x = 7,649.29

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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.