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Finding the Fourth Proportional to 9,803.21, 14,706.45 and 4,543.49

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Solution

The fourth proportional to 9,803.21, 14,706.45 and 4,543.49 is: 6,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.21 : 14,706.45 = 4,543.49 : x
  2. Step 2: Convert to fraction form
    9,803.21/14,706.45 = 4,543.49/x
  3. Step 3: Cross multiply
    9,803.21x = 14,706.45 × 4,543.49
  4. Step 4: Simplify right side
    9,803.21x = 66,818,608.51
  5. Step 5: Solve for x
    x = 66,818,608.51/9,803.21
  6. Step 6: Final answer
    x = 6,815.99

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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.