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Finding the Fourth Proportional to 9,729.19, 14,597.23 and 4,802.28

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Solution

The fourth proportional to 9,729.19, 14,597.23 and 4,802.28 is: 7,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.19 : 14,597.23 = 4,802.28 : x
  2. Step 2: Convert to fraction form
    9,729.19/14,597.23 = 4,802.28/x
  3. Step 3: Cross multiply
    9,729.19x = 14,597.23 × 4,802.28
  4. Step 4: Simplify right side
    9,729.19x = 70,100,028.42
  5. Step 5: Solve for x
    x = 70,100,028.42/9,729.19
  6. Step 6: Final answer
    x = 7,205.13

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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.