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Finding the Fourth Proportional to 9,973.50, 14,960.25 and 3,048.54

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Solution

The fourth proportional to 9,973.50, 14,960.25 and 3,048.54 is: 4,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.50 : 14,960.25 = 3,048.54 : x
  2. Step 2: Convert to fraction form
    9,973.50/14,960.25 = 3,048.54/x
  3. Step 3: Cross multiply
    9,973.50x = 14,960.25 × 3,048.54
  4. Step 4: Simplify right side
    9,973.50x = 45,606,920.54
  5. Step 5: Solve for x
    x = 45,606,920.54/9,973.50
  6. Step 6: Final answer
    x = 4,572.81

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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.