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Finding the Fourth Proportional to 9,528.54, 14,301.96 and 3,980.40

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Solution

The fourth proportional to 9,528.54, 14,301.96 and 3,980.40 is: 5,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.54 : 14,301.96 = 3,980.40 : x
  2. Step 2: Convert to fraction form
    9,528.54/14,301.96 = 3,980.40/x
  3. Step 3: Cross multiply
    9,528.54x = 14,301.96 × 3,980.40
  4. Step 4: Simplify right side
    9,528.54x = 56,927,521.58
  5. Step 5: Solve for x
    x = 56,927,521.58/9,528.54
  6. Step 6: Final answer
    x = 5,974.42

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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.