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Finding the Fourth Proportional to 9,354.87, 14,038.37 and 4,975.40

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Solution

The fourth proportional to 9,354.87, 14,038.37 and 4,975.40 is: 7,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.87 : 14,038.37 = 4,975.40 : x
  2. Step 2: Convert to fraction form
    9,354.87/14,038.37 = 4,975.40/x
  3. Step 3: Cross multiply
    9,354.87x = 14,038.37 × 4,975.40
  4. Step 4: Simplify right side
    9,354.87x = 69,846,481.22
  5. Step 5: Solve for x
    x = 69,846,481.22/9,354.87
  6. Step 6: Final answer
    x = 7,466.33

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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.