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Finding the Fourth Proportional to 9,856, 13,603.59 and 6,499.42

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Solution

The fourth proportional to 9,856, 13,603.59 and 6,499.42 is: 8,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 13,603.59 = 6,499.42 : x
  2. Step 2: Convert to fraction form
    9,856/13,603.59 = 6,499.42/x
  3. Step 3: Cross multiply
    9,856x = 13,603.59 × 6,499.42
  4. Step 4: Simplify right side
    9,856x = 88,415,444.92
  5. Step 5: Solve for x
    x = 88,415,444.92/9,856
  6. Step 6: Final answer
    x = 8,970.72

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