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Finding the Fourth Proportional to 9,969.44, 14,953.55 and 4,125.90

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Solution

The fourth proportional to 9,969.44, 14,953.55 and 4,125.90 is: 6,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.44 : 14,953.55 = 4,125.90 : x
  2. Step 2: Convert to fraction form
    9,969.44/14,953.55 = 4,125.90/x
  3. Step 3: Cross multiply
    9,969.44x = 14,953.55 × 4,125.90
  4. Step 4: Simplify right side
    9,969.44x = 61,696,851.95
  5. Step 5: Solve for x
    x = 61,696,851.95/9,969.44
  6. Step 6: Final answer
    x = 6,188.60

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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.