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Finding the Fourth Proportional to 9,482.01, 13,087.49 and 5,897.38

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Solution

The fourth proportional to 9,482.01, 13,087.49 and 5,897.38 is: 8,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.01 : 13,087.49 = 5,897.38 : x
  2. Step 2: Convert to fraction form
    9,482.01/13,087.49 = 5,897.38/x
  3. Step 3: Cross multiply
    9,482.01x = 13,087.49 × 5,897.38
  4. Step 4: Simplify right side
    9,482.01x = 77,181,909.21
  5. Step 5: Solve for x
    x = 77,181,909.21/9,482.01
  6. Step 6: Final answer
    x = 8,139.82

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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.