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Finding the Fourth Proportional to 9,569.17, 14,362.47 and 4,892.41

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Solution

The fourth proportional to 9,569.17, 14,362.47 and 4,892.41 is: 7,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.17 : 14,362.47 = 4,892.41 : x
  2. Step 2: Convert to fraction form
    9,569.17/14,362.47 = 4,892.41/x
  3. Step 3: Cross multiply
    9,569.17x = 14,362.47 × 4,892.41
  4. Step 4: Simplify right side
    9,569.17x = 70,267,091.85
  5. Step 5: Solve for x
    x = 70,267,091.85/9,569.17
  6. Step 6: Final answer
    x = 7,343.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.