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Finding the Fourth Proportional to 9,729.54, 14,597.75 and 4,802.63

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Solution

The fourth proportional to 9,729.54, 14,597.75 and 4,802.63 is: 7,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.54 : 14,597.75 = 4,802.63 : x
  2. Step 2: Convert to fraction form
    9,729.54/14,597.75 = 4,802.63/x
  3. Step 3: Cross multiply
    9,729.54x = 14,597.75 × 4,802.63
  4. Step 4: Simplify right side
    9,729.54x = 70,107,640.58
  5. Step 5: Solve for x
    x = 70,107,640.58/9,729.54
  6. Step 6: Final answer
    x = 7,205.65

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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.