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Finding the Fourth Proportional to 9,728.29, 14,597.19 and 6,029.53

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Solution

The fourth proportional to 9,728.29, 14,597.19 and 6,029.53 is: 9,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.29 : 14,597.19 = 6,029.53 : x
  2. Step 2: Convert to fraction form
    9,728.29/14,597.19 = 6,029.53/x
  3. Step 3: Cross multiply
    9,728.29x = 14,597.19 × 6,029.53
  4. Step 4: Simplify right side
    9,728.29x = 88,014,195.02
  5. Step 5: Solve for x
    x = 88,014,195.02/9,728.29
  6. Step 6: Final answer
    x = 9,047.24

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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.