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Finding the Fourth Proportional to 9,580.20, 14,356.80 and 7,609.20

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Solution

The fourth proportional to 9,580.20, 14,356.80 and 7,609.20 is: 11,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.20 : 14,356.80 = 7,609.20 : x
  2. Step 2: Convert to fraction form
    9,580.20/14,356.80 = 7,609.20/x
  3. Step 3: Cross multiply
    9,580.20x = 14,356.80 × 7,609.20
  4. Step 4: Simplify right side
    9,580.20x = 109,243,762.56
  5. Step 5: Solve for x
    x = 109,243,762.56/9,580.20
  6. Step 6: Final answer
    x = 11,403.08

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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.