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Finding the Fourth Proportional to 9,129.70, 12,598.99 and 4,937.95

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Solution

The fourth proportional to 9,129.70, 12,598.99 and 4,937.95 is: 6,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.70 : 12,598.99 = 4,937.95 : x
  2. Step 2: Convert to fraction form
    9,129.70/12,598.99 = 4,937.95/x
  3. Step 3: Cross multiply
    9,129.70x = 12,598.99 × 4,937.95
  4. Step 4: Simplify right side
    9,129.70x = 62,213,228.21
  5. Step 5: Solve for x
    x = 62,213,228.21/9,129.70
  6. Step 6: Final answer
    x = 6,814.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.