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Finding the Fourth Proportional to 9,969.48, 14,958 and 3,044.52

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Solution

The fourth proportional to 9,969.48, 14,958 and 3,044.52 is: 4,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.48 : 14,958 = 3,044.52 : x
  2. Step 2: Convert to fraction form
    9,969.48/14,958 = 3,044.52/x
  3. Step 3: Cross multiply
    9,969.48x = 14,958 × 3,044.52
  4. Step 4: Simplify right side
    9,969.48x = 45,539,930.16
  5. Step 5: Solve for x
    x = 45,539,930.16/9,969.48
  6. Step 6: Final answer
    x = 4,567.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.