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Finding the Fourth Proportional to 8,917.71, 12,312.46 and 7,970.46

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Solution

The fourth proportional to 8,917.71, 12,312.46 and 7,970.46 is: 11,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.71 : 12,312.46 = 7,970.46 : x
  2. Step 2: Convert to fraction form
    8,917.71/12,312.46 = 7,970.46/x
  3. Step 3: Cross multiply
    8,917.71x = 12,312.46 × 7,970.46
  4. Step 4: Simplify right side
    8,917.71x = 98,135,969.93
  5. Step 5: Solve for x
    x = 98,135,969.93/8,917.71
  6. Step 6: Final answer
    x = 11,004.62

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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.