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Finding the Fourth Proportional to 9,293.01, 12,823.95 and 5,100.99

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Solution

The fourth proportional to 9,293.01, 12,823.95 and 5,100.99 is: 7,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.01 : 12,823.95 = 5,100.99 : x
  2. Step 2: Convert to fraction form
    9,293.01/12,823.95 = 5,100.99/x
  3. Step 3: Cross multiply
    9,293.01x = 12,823.95 × 5,100.99
  4. Step 4: Simplify right side
    9,293.01x = 65,414,840.71
  5. Step 5: Solve for x
    x = 65,414,840.71/9,293.01
  6. Step 6: Final answer
    x = 7,039.14

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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.