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Finding the Fourth Proportional to 9,928.27, 14,870.54 and 6,024.48

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Solution

The fourth proportional to 9,928.27, 14,870.54 and 6,024.48 is: 9,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.27 : 14,870.54 = 6,024.48 : x
  2. Step 2: Convert to fraction form
    9,928.27/14,870.54 = 6,024.48/x
  3. Step 3: Cross multiply
    9,928.27x = 14,870.54 × 6,024.48
  4. Step 4: Simplify right side
    9,928.27x = 89,587,196.23
  5. Step 5: Solve for x
    x = 89,587,196.23/9,928.27
  6. Step 6: Final answer
    x = 9,023.44

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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.