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Finding the Fourth Proportional to 9,395.40, 14,087.40 and 6,470.46

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Solution

The fourth proportional to 9,395.40, 14,087.40 and 6,470.46 is: 9,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.40 : 14,087.40 = 6,470.46 : x
  2. Step 2: Convert to fraction form
    9,395.40/14,087.40 = 6,470.46/x
  3. Step 3: Cross multiply
    9,395.40x = 14,087.40 × 6,470.46
  4. Step 4: Simplify right side
    9,395.40x = 91,151,958.20
  5. Step 5: Solve for x
    x = 91,151,958.20/9,395.40
  6. Step 6: Final answer
    x = 9,701.76

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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.