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Finding the Fourth Proportional to 9,130.14, 13,682.79 and 4,738.50

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Solution

The fourth proportional to 9,130.14, 13,682.79 and 4,738.50 is: 7,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.14 : 13,682.79 = 4,738.50 : x
  2. Step 2: Convert to fraction form
    9,130.14/13,682.79 = 4,738.50/x
  3. Step 3: Cross multiply
    9,130.14x = 13,682.79 × 4,738.50
  4. Step 4: Simplify right side
    9,130.14x = 64,835,900.42
  5. Step 5: Solve for x
    x = 64,835,900.42/9,130.14
  6. Step 6: Final answer
    x = 7,101.30

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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.