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Finding the Fourth Proportional to 9,729.40, 14,594.18 and 3,155.58

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Solution

The fourth proportional to 9,729.40, 14,594.18 and 3,155.58 is: 4,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.40 : 14,594.18 = 3,155.58 : x
  2. Step 2: Convert to fraction form
    9,729.40/14,594.18 = 3,155.58/x
  3. Step 3: Cross multiply
    9,729.40x = 14,594.18 × 3,155.58
  4. Step 4: Simplify right side
    9,729.40x = 46,053,102.52
  5. Step 5: Solve for x
    x = 46,053,102.52/9,729.40
  6. Step 6: Final answer
    x = 4,733.40

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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.