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Finding the Fourth Proportional to 9,749.10, 14,623.65 and 7,416.30

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Solution

The fourth proportional to 9,749.10, 14,623.65 and 7,416.30 is: 11,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.10 : 14,623.65 = 7,416.30 : x
  2. Step 2: Convert to fraction form
    9,749.10/14,623.65 = 7,416.30/x
  3. Step 3: Cross multiply
    9,749.10x = 14,623.65 × 7,416.30
  4. Step 4: Simplify right side
    9,749.10x = 108,453,375.50
  5. Step 5: Solve for x
    x = 108,453,375.50/9,749.10
  6. Step 6: Final answer
    x = 11,124.45

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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.