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Finding the Fourth Proportional to 9,546, 14,319.48 and 3,390.48

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Solution

The fourth proportional to 9,546, 14,319.48 and 3,390.48 is: 5,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546 : 14,319.48 = 3,390.48 : x
  2. Step 2: Convert to fraction form
    9,546/14,319.48 = 3,390.48/x
  3. Step 3: Cross multiply
    9,546x = 14,319.48 × 3,390.48
  4. Step 4: Simplify right side
    9,546x = 48,549,910.55
  5. Step 5: Solve for x
    x = 48,549,910.55/9,546
  6. Step 6: Final answer
    x = 5,085.89

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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.