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Finding the Fourth Proportional to 9,771.12, 14,648.45 and 6,642.36

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Solution

The fourth proportional to 9,771.12, 14,648.45 and 6,642.36 is: 9,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.12 : 14,648.45 = 6,642.36 : x
  2. Step 2: Convert to fraction form
    9,771.12/14,648.45 = 6,642.36/x
  3. Step 3: Cross multiply
    9,771.12x = 14,648.45 × 6,642.36
  4. Step 4: Simplify right side
    9,771.12x = 97,300,245.13
  5. Step 5: Solve for x
    x = 97,300,245.13/9,771.12
  6. Step 6: Final answer
    x = 9,957.94

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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.