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Finding the Fourth Proportional to 9,969.12, 14,952.06 and 3,042

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Solution

The fourth proportional to 9,969.12, 14,952.06 and 3,042 is: 4,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.12 : 14,952.06 = 3,042 : x
  2. Step 2: Convert to fraction form
    9,969.12/14,952.06 = 3,042/x
  3. Step 3: Cross multiply
    9,969.12x = 14,952.06 × 3,042
  4. Step 4: Simplify right side
    9,969.12x = 45,484,166.52
  5. Step 5: Solve for x
    x = 45,484,166.52/9,969.12
  6. Step 6: Final answer
    x = 4,562.51

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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.