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Finding the Fourth Proportional to 9,315.16, 13,969.35 and 5,101.54

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Solution

The fourth proportional to 9,315.16, 13,969.35 and 5,101.54 is: 7,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.16 : 13,969.35 = 5,101.54 : x
  2. Step 2: Convert to fraction form
    9,315.16/13,969.35 = 5,101.54/x
  3. Step 3: Cross multiply
    9,315.16x = 13,969.35 × 5,101.54
  4. Step 4: Simplify right side
    9,315.16x = 71,265,185.70
  5. Step 5: Solve for x
    x = 71,265,185.70/9,315.16
  6. Step 6: Final answer
    x = 7,650.46

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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.