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Finding the Fourth Proportional to 9,347.83, 14,019.34 and 2,772.47

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Solution

The fourth proportional to 9,347.83, 14,019.34 and 2,772.47 is: 4,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.83 : 14,019.34 = 2,772.47 : x
  2. Step 2: Convert to fraction form
    9,347.83/14,019.34 = 2,772.47/x
  3. Step 3: Cross multiply
    9,347.83x = 14,019.34 × 2,772.47
  4. Step 4: Simplify right side
    9,347.83x = 38,868,199.57
  5. Step 5: Solve for x
    x = 38,868,199.57/9,347.83
  6. Step 6: Final answer
    x = 4,157.99

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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.