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Finding the Fourth Proportional to 9,868.34, 14,799.03 and 2,846.47

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Solution

The fourth proportional to 9,868.34, 14,799.03 and 2,846.47 is: 4,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.34 : 14,799.03 = 2,846.47 : x
  2. Step 2: Convert to fraction form
    9,868.34/14,799.03 = 2,846.47/x
  3. Step 3: Cross multiply
    9,868.34x = 14,799.03 × 2,846.47
  4. Step 4: Simplify right side
    9,868.34x = 42,124,957.93
  5. Step 5: Solve for x
    x = 42,124,957.93/9,868.34
  6. Step 6: Final answer
    x = 4,268.70

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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.