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Finding the Fourth Proportional to 9,570, 13,203.36 and 6,034.08

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Solution

The fourth proportional to 9,570, 13,203.36 and 6,034.08 is: 8,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 13,203.36 = 6,034.08 : x
  2. Step 2: Convert to fraction form
    9,570/13,203.36 = 6,034.08/x
  3. Step 3: Cross multiply
    9,570x = 13,203.36 × 6,034.08
  4. Step 4: Simplify right side
    9,570x = 79,670,130.51
  5. Step 5: Solve for x
    x = 79,670,130.51/9,570
  6. Step 6: Final answer
    x = 8,324.99

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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.