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Finding the Fourth Proportional to 9,959.54, 14,948.52 and 5,032.63

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Solution

The fourth proportional to 9,959.54, 14,948.52 and 5,032.63 is: 7,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.54 : 14,948.52 = 5,032.63 : x
  2. Step 2: Convert to fraction form
    9,959.54/14,948.52 = 5,032.63/x
  3. Step 3: Cross multiply
    9,959.54x = 14,948.52 × 5,032.63
  4. Step 4: Simplify right side
    9,959.54x = 75,230,370.21
  5. Step 5: Solve for x
    x = 75,230,370.21/9,959.54
  6. Step 6: Final answer
    x = 7,553.60

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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.