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Finding the Fourth Proportional to 12,970.17, 17,873.87 and 9,427.77

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Solution

The fourth proportional to 12,970.17, 17,873.87 and 9,427.77 is: 12,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.17 : 17,873.87 = 9,427.77 : x
  2. Step 2: Convert to fraction form
    12,970.17/17,873.87 = 9,427.77/x
  3. Step 3: Cross multiply
    12,970.17x = 17,873.87 × 9,427.77
  4. Step 4: Simplify right side
    12,970.17x = 168,510,688.23
  5. Step 5: Solve for x
    x = 168,510,688.23/12,970.17
  6. Step 6: Final answer
    x = 12,992.17

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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.