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Finding the Fourth Proportional to 9,603.86, 14,401.19 and 4,926.11

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Solution

The fourth proportional to 9,603.86, 14,401.19 and 4,926.11 is: 7,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.86 : 14,401.19 = 4,926.11 : x
  2. Step 2: Convert to fraction form
    9,603.86/14,401.19 = 4,926.11/x
  3. Step 3: Cross multiply
    9,603.86x = 14,401.19 × 4,926.11
  4. Step 4: Simplify right side
    9,603.86x = 70,941,786.38
  5. Step 5: Solve for x
    x = 70,941,786.38/9,603.86
  6. Step 6: Final answer
    x = 7,386.80

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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.