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Finding the Fourth Proportional to 9,969.52, 14,954.24 and 3,730

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Solution

The fourth proportional to 9,969.52, 14,954.24 and 3,730 is: 5,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.52 : 14,954.24 = 3,730 : x
  2. Step 2: Convert to fraction form
    9,969.52/14,954.24 = 3,730/x
  3. Step 3: Cross multiply
    9,969.52x = 14,954.24 × 3,730
  4. Step 4: Simplify right side
    9,969.52x = 55,779,315.20
  5. Step 5: Solve for x
    x = 55,779,315.20/9,969.52
  6. Step 6: Final answer
    x = 5,594.99

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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.