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Finding the Fourth Proportional to 9,811.40, 14,720.46 and 4,617.56

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Solution

The fourth proportional to 9,811.40, 14,720.46 and 4,617.56 is: 6,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.40 : 14,720.46 = 4,617.56 : x
  2. Step 2: Convert to fraction form
    9,811.40/14,720.46 = 4,617.56/x
  3. Step 3: Cross multiply
    9,811.40x = 14,720.46 × 4,617.56
  4. Step 4: Simplify right side
    9,811.40x = 67,972,607.28
  5. Step 5: Solve for x
    x = 67,972,607.28/9,811.40
  6. Step 6: Final answer
    x = 6,927.92

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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.