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Finding the Fourth Proportional to 9,210, 13,798.62 and 5,306.34

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Solution

The fourth proportional to 9,210, 13,798.62 and 5,306.34 is: 7,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 13,798.62 = 5,306.34 : x
  2. Step 2: Convert to fraction form
    9,210/13,798.62 = 5,306.34/x
  3. Step 3: Cross multiply
    9,210x = 13,798.62 × 5,306.34
  4. Step 4: Simplify right side
    9,210x = 73,220,169.25
  5. Step 5: Solve for x
    x = 73,220,169.25/9,210
  6. Step 6: Final answer
    x = 7,950.07

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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.