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Finding the Fourth Proportional to 9,861.12, 13,607.94 and 5,384.82

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Solution

The fourth proportional to 9,861.12, 13,607.94 and 5,384.82 is: 7,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.12 : 13,607.94 = 5,384.82 : x
  2. Step 2: Convert to fraction form
    9,861.12/13,607.94 = 5,384.82/x
  3. Step 3: Cross multiply
    9,861.12x = 13,607.94 × 5,384.82
  4. Step 4: Simplify right side
    9,861.12x = 73,276,307.47
  5. Step 5: Solve for x
    x = 73,276,307.47/9,861.12
  6. Step 6: Final answer
    x = 7,430.83

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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.