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Finding the Fourth Proportional to 9,875.85, 13,622.00 and 6,343.35

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Solution

The fourth proportional to 9,875.85, 13,622.00 and 6,343.35 is: 8,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.85 : 13,622.00 = 6,343.35 : x
  2. Step 2: Convert to fraction form
    9,875.85/13,622.00 = 6,343.35/x
  3. Step 3: Cross multiply
    9,875.85x = 13,622.00 × 6,343.35
  4. Step 4: Simplify right side
    9,875.85x = 86,409,081.98
  5. Step 5: Solve for x
    x = 86,409,081.98/9,875.85
  6. Step 6: Final answer
    x = 8,749.53

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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.