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Finding the Fourth Proportional to 9,030.15, 13,543.10 and 3,765.25

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Solution

The fourth proportional to 9,030.15, 13,543.10 and 3,765.25 is: 5,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.15 : 13,543.10 = 3,765.25 : x
  2. Step 2: Convert to fraction form
    9,030.15/13,543.10 = 3,765.25/x
  3. Step 3: Cross multiply
    9,030.15x = 13,543.10 × 3,765.25
  4. Step 4: Simplify right side
    9,030.15x = 50,993,169.50
  5. Step 5: Solve for x
    x = 50,993,169.50/9,030.15
  6. Step 6: Final answer
    x = 5,646.99

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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.