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Finding the Fourth Proportional to 9,209.76, 12,709.47 and 5,018.01

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Solution

The fourth proportional to 9,209.76, 12,709.47 and 5,018.01 is: 6,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.76 : 12,709.47 = 5,018.01 : x
  2. Step 2: Convert to fraction form
    9,209.76/12,709.47 = 5,018.01/x
  3. Step 3: Cross multiply
    9,209.76x = 12,709.47 × 5,018.01
  4. Step 4: Simplify right side
    9,209.76x = 63,776,247.55
  5. Step 5: Solve for x
    x = 63,776,247.55/9,209.76
  6. Step 6: Final answer
    x = 6,924.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.