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Finding the Fourth Proportional to 9,728.40, 14,592.68 and 3,154.58

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Solution

The fourth proportional to 9,728.40, 14,592.68 and 3,154.58 is: 4,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.40 : 14,592.68 = 3,154.58 : x
  2. Step 2: Convert to fraction form
    9,728.40/14,592.68 = 3,154.58/x
  3. Step 3: Cross multiply
    9,728.40x = 14,592.68 × 3,154.58
  4. Step 4: Simplify right side
    9,728.40x = 46,033,776.47
  5. Step 5: Solve for x
    x = 46,033,776.47/9,728.40
  6. Step 6: Final answer
    x = 4,731.90

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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.