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Finding the Fourth Proportional to 9,897.36, 13,658.38 and 5,360.08

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Solution

The fourth proportional to 9,897.36, 13,658.38 and 5,360.08 is: 7,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.36 : 13,658.38 = 5,360.08 : x
  2. Step 2: Convert to fraction form
    9,897.36/13,658.38 = 5,360.08/x
  3. Step 3: Cross multiply
    9,897.36x = 13,658.38 × 5,360.08
  4. Step 4: Simplify right side
    9,897.36x = 73,210,009.47
  5. Step 5: Solve for x
    x = 73,210,009.47/9,897.36
  6. Step 6: Final answer
    x = 7,396.92

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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.