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Finding the Fourth Proportional to 9,837.40, 14,756.08 and 3,083.50

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Solution

The fourth proportional to 9,837.40, 14,756.08 and 3,083.50 is: 4,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.40 : 14,756.08 = 3,083.50 : x
  2. Step 2: Convert to fraction form
    9,837.40/14,756.08 = 3,083.50/x
  3. Step 3: Cross multiply
    9,837.40x = 14,756.08 × 3,083.50
  4. Step 4: Simplify right side
    9,837.40x = 45,500,357.26
  5. Step 5: Solve for x
    x = 45,500,357.26/9,837.40
  6. Step 6: Final answer
    x = 4,625.24

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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.