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Finding the Fourth Proportional to 9,734.16, 14,597.28 and 3,069.84

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Solution

The fourth proportional to 9,734.16, 14,597.28 and 3,069.84 is: 4,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.16 : 14,597.28 = 3,069.84 : x
  2. Step 2: Convert to fraction form
    9,734.16/14,597.28 = 3,069.84/x
  3. Step 3: Cross multiply
    9,734.16x = 14,597.28 × 3,069.84
  4. Step 4: Simplify right side
    9,734.16x = 44,811,314.04
  5. Step 5: Solve for x
    x = 44,811,314.04/9,734.16
  6. Step 6: Final answer
    x = 4,603.51

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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.