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Finding the Fourth Proportional to 9,514, 14,271.05 and 3,358

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Solution

The fourth proportional to 9,514, 14,271.05 and 3,358 is: 5,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514 : 14,271.05 = 3,358 : x
  2. Step 2: Convert to fraction form
    9,514/14,271.05 = 3,358/x
  3. Step 3: Cross multiply
    9,514x = 14,271.05 × 3,358
  4. Step 4: Simplify right side
    9,514x = 47,922,185.90
  5. Step 5: Solve for x
    x = 47,922,185.90/9,514
  6. Step 6: Final answer
    x = 5,037.02

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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.