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Finding the Fourth Proportional to 9,109, 12,570.81 and 5,130.34

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Solution

The fourth proportional to 9,109, 12,570.81 and 5,130.34 is: 7,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109 : 12,570.81 = 5,130.34 : x
  2. Step 2: Convert to fraction form
    9,109/12,570.81 = 5,130.34/x
  3. Step 3: Cross multiply
    9,109x = 12,570.81 × 5,130.34
  4. Step 4: Simplify right side
    9,109x = 64,492,529.38
  5. Step 5: Solve for x
    x = 64,492,529.38/9,109
  6. Step 6: Final answer
    x = 7,080.09

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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.