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Finding the Fourth Proportional to 9,730.89, 14,597.28 and 3,157.74

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Solution

The fourth proportional to 9,730.89, 14,597.28 and 3,157.74 is: 4,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.89 : 14,597.28 = 3,157.74 : x
  2. Step 2: Convert to fraction form
    9,730.89/14,597.28 = 3,157.74/x
  3. Step 3: Cross multiply
    9,730.89x = 14,597.28 × 3,157.74
  4. Step 4: Simplify right side
    9,730.89x = 46,094,414.95
  5. Step 5: Solve for x
    x = 46,094,414.95/9,730.89
  6. Step 6: Final answer
    x = 4,736.92

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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.