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Finding the Fourth Proportional to 9,263.95, 12,784.17 and 5,014.93

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Solution

The fourth proportional to 9,263.95, 12,784.17 and 5,014.93 is: 6,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.95 : 12,784.17 = 5,014.93 : x
  2. Step 2: Convert to fraction form
    9,263.95/12,784.17 = 5,014.93/x
  3. Step 3: Cross multiply
    9,263.95x = 12,784.17 × 5,014.93
  4. Step 4: Simplify right side
    9,263.95x = 64,111,717.66
  5. Step 5: Solve for x
    x = 64,111,717.66/9,263.95
  6. Step 6: Final answer
    x = 6,920.56

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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.