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Finding the Fourth Proportional to 9,192.71, 12,678.57 and 6,005.76

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Solution

The fourth proportional to 9,192.71, 12,678.57 and 6,005.76 is: 8,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.71 : 12,678.57 = 6,005.76 : x
  2. Step 2: Convert to fraction form
    9,192.71/12,678.57 = 6,005.76/x
  3. Step 3: Cross multiply
    9,192.71x = 12,678.57 × 6,005.76
  4. Step 4: Simplify right side
    9,192.71x = 76,144,448.56
  5. Step 5: Solve for x
    x = 76,144,448.56/9,192.71
  6. Step 6: Final answer
    x = 8,283.14

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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.