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Finding the Fourth Proportional to 9,253, 12,775.30 and 5,477.37

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Solution

The fourth proportional to 9,253, 12,775.30 and 5,477.37 is: 7,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253 : 12,775.30 = 5,477.37 : x
  2. Step 2: Convert to fraction form
    9,253/12,775.30 = 5,477.37/x
  3. Step 3: Cross multiply
    9,253x = 12,775.30 × 5,477.37
  4. Step 4: Simplify right side
    9,253x = 69,975,044.96
  5. Step 5: Solve for x
    x = 69,975,044.96/9,253
  6. Step 6: Final answer
    x = 7,562.42

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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.