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Finding the Fourth Proportional to 9,898.40, 14,842.95 and 5,739.59

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Solution

The fourth proportional to 9,898.40, 14,842.95 and 5,739.59 is: 8,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.40 : 14,842.95 = 5,739.59 : x
  2. Step 2: Convert to fraction form
    9,898.40/14,842.95 = 5,739.59/x
  3. Step 3: Cross multiply
    9,898.40x = 14,842.95 × 5,739.59
  4. Step 4: Simplify right side
    9,898.40x = 85,192,373.18
  5. Step 5: Solve for x
    x = 85,192,373.18/9,898.40
  6. Step 6: Final answer
    x = 8,606.69

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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.