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Finding the Fourth Proportional to 9,119.71, 12,585.20 and 4,927.96

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Solution

The fourth proportional to 9,119.71, 12,585.20 and 4,927.96 is: 6,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.71 : 12,585.20 = 4,927.96 : x
  2. Step 2: Convert to fraction form
    9,119.71/12,585.20 = 4,927.96/x
  3. Step 3: Cross multiply
    9,119.71x = 12,585.20 × 4,927.96
  4. Step 4: Simplify right side
    9,119.71x = 62,019,362.19
  5. Step 5: Solve for x
    x = 62,019,362.19/9,119.71
  6. Step 6: Final answer
    x = 6,800.58

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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.