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Finding the Fourth Proportional to 9,728.61, 14,594.28 and 3,152.67

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Solution

The fourth proportional to 9,728.61, 14,594.28 and 3,152.67 is: 4,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.61 : 14,594.28 = 3,152.67 : x
  2. Step 2: Convert to fraction form
    9,728.61/14,594.28 = 3,152.67/x
  3. Step 3: Cross multiply
    9,728.61x = 14,594.28 × 3,152.67
  4. Step 4: Simplify right side
    9,728.61x = 46,010,948.73
  5. Step 5: Solve for x
    x = 46,010,948.73/9,728.61
  6. Step 6: Final answer
    x = 4,729.45

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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.