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Finding the Fourth Proportional to 9,642.20, 14,474.10 and 7,460.60

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Solution

The fourth proportional to 9,642.20, 14,474.10 and 7,460.60 is: 11,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.20 : 14,474.10 = 7,460.60 : x
  2. Step 2: Convert to fraction form
    9,642.20/14,474.10 = 7,460.60/x
  3. Step 3: Cross multiply
    9,642.20x = 14,474.10 × 7,460.60
  4. Step 4: Simplify right side
    9,642.20x = 107,985,470.46
  5. Step 5: Solve for x
    x = 107,985,470.46/9,642.20
  6. Step 6: Final answer
    x = 11,199.26

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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.