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Finding the Fourth Proportional to 9,558, 14,341.86 and 4,365.09

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Solution

The fourth proportional to 9,558, 14,341.86 and 4,365.09 is: 6,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 14,341.86 = 4,365.09 : x
  2. Step 2: Convert to fraction form
    9,558/14,341.86 = 4,365.09/x
  3. Step 3: Cross multiply
    9,558x = 14,341.86 × 4,365.09
  4. Step 4: Simplify right side
    9,558x = 62,603,509.67
  5. Step 5: Solve for x
    x = 62,603,509.67/9,558
  6. Step 6: Final answer
    x = 6,549.85

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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.