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Finding the Fourth Proportional to 9,804.89, 14,701.40 and 3,954.66

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Solution

The fourth proportional to 9,804.89, 14,701.40 and 3,954.66 is: 5,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.89 : 14,701.40 = 3,954.66 : x
  2. Step 2: Convert to fraction form
    9,804.89/14,701.40 = 3,954.66/x
  3. Step 3: Cross multiply
    9,804.89x = 14,701.40 × 3,954.66
  4. Step 4: Simplify right side
    9,804.89x = 58,139,038.52
  5. Step 5: Solve for x
    x = 58,139,038.52/9,804.89
  6. Step 6: Final answer
    x = 5,929.60

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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.