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Finding the Fourth Proportional to 9,856.32, 13,607.04 and 7,835.76

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Solution

The fourth proportional to 9,856.32, 13,607.04 and 7,835.76 is: 10,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.32 : 13,607.04 = 7,835.76 : x
  2. Step 2: Convert to fraction form
    9,856.32/13,607.04 = 7,835.76/x
  3. Step 3: Cross multiply
    9,856.32x = 13,607.04 × 7,835.76
  4. Step 4: Simplify right side
    9,856.32x = 106,621,499.75
  5. Step 5: Solve for x
    x = 106,621,499.75/9,856.32
  6. Step 6: Final answer
    x = 10,817.58

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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.