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Finding the Fourth Proportional to 9,202, 13,779.60 and 6,072.64

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Solution

The fourth proportional to 9,202, 13,779.60 and 6,072.64 is: 9,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202 : 13,779.60 = 6,072.64 : x
  2. Step 2: Convert to fraction form
    9,202/13,779.60 = 6,072.64/x
  3. Step 3: Cross multiply
    9,202x = 13,779.60 × 6,072.64
  4. Step 4: Simplify right side
    9,202x = 83,678,550.14
  5. Step 5: Solve for x
    x = 83,678,550.14/9,202
  6. Step 6: Final answer
    x = 9,093.52

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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.