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Finding the Fourth Proportional to 9,803.71, 14,707.23 and 4,544.02

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Solution

The fourth proportional to 9,803.71, 14,707.23 and 4,544.02 is: 6,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.71 : 14,707.23 = 4,544.02 : x
  2. Step 2: Convert to fraction form
    9,803.71/14,707.23 = 4,544.02/x
  3. Step 3: Cross multiply
    9,803.71x = 14,707.23 × 4,544.02
  4. Step 4: Simplify right side
    9,803.71x = 66,829,947.26
  5. Step 5: Solve for x
    x = 66,829,947.26/9,803.71
  6. Step 6: Final answer
    x = 6,816.80

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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.