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Finding the Fourth Proportional to 9,711.46, 13,368.76 and 7,188.81

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Solution

The fourth proportional to 9,711.46, 13,368.76 and 7,188.81 is: 9,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.46 : 13,368.76 = 7,188.81 : x
  2. Step 2: Convert to fraction form
    9,711.46/13,368.76 = 7,188.81/x
  3. Step 3: Cross multiply
    9,711.46x = 13,368.76 × 7,188.81
  4. Step 4: Simplify right side
    9,711.46x = 96,105,511.58
  5. Step 5: Solve for x
    x = 96,105,511.58/9,711.46
  6. Step 6: Final answer
    x = 9,896.10

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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.