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Finding the Fourth Proportional to 9,771.40, 14,661.90 and 7,430.60

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Solution

The fourth proportional to 9,771.40, 14,661.90 and 7,430.60 is: 11,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.40 : 14,661.90 = 7,430.60 : x
  2. Step 2: Convert to fraction form
    9,771.40/14,661.90 = 7,430.60/x
  3. Step 3: Cross multiply
    9,771.40x = 14,661.90 × 7,430.60
  4. Step 4: Simplify right side
    9,771.40x = 108,946,714.14
  5. Step 5: Solve for x
    x = 108,946,714.14/9,771.40
  6. Step 6: Final answer
    x = 11,149.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.