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Finding the Fourth Proportional to 9,898.01, 13,659 and 5,421.95

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Solution

The fourth proportional to 9,898.01, 13,659 and 5,421.95 is: 7,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.01 : 13,659 = 5,421.95 : x
  2. Step 2: Convert to fraction form
    9,898.01/13,659 = 5,421.95/x
  3. Step 3: Cross multiply
    9,898.01x = 13,659 × 5,421.95
  4. Step 4: Simplify right side
    9,898.01x = 74,058,415.05
  5. Step 5: Solve for x
    x = 74,058,415.05/9,898.01
  6. Step 6: Final answer
    x = 7,482.15

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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.