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Finding the Fourth Proportional to 9,262.32, 13,891 and 4,329.40

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Solution

The fourth proportional to 9,262.32, 13,891 and 4,329.40 is: 6,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.32 : 13,891 = 4,329.40 : x
  2. Step 2: Convert to fraction form
    9,262.32/13,891 = 4,329.40/x
  3. Step 3: Cross multiply
    9,262.32x = 13,891 × 4,329.40
  4. Step 4: Simplify right side
    9,262.32x = 60,139,695.40
  5. Step 5: Solve for x
    x = 60,139,695.40/9,262.32
  6. Step 6: Final answer
    x = 6,492.94

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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.