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Finding the Fourth Proportional to 9,829.95, 14,745.29 and 3,256.71

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Solution

The fourth proportional to 9,829.95, 14,745.29 and 3,256.71 is: 4,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.95 : 14,745.29 = 3,256.71 : x
  2. Step 2: Convert to fraction form
    9,829.95/14,745.29 = 3,256.71/x
  3. Step 3: Cross multiply
    9,829.95x = 14,745.29 × 3,256.71
  4. Step 4: Simplify right side
    9,829.95x = 48,021,117.11
  5. Step 5: Solve for x
    x = 48,021,117.11/9,829.95
  6. Step 6: Final answer
    x = 4,885.18

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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.