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Finding the Fourth Proportional to 12,875.41, 17,763.93 and 7,209.33

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Solution

The fourth proportional to 12,875.41, 17,763.93 and 7,209.33 is: 9,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.41 : 17,763.93 = 7,209.33 : x
  2. Step 2: Convert to fraction form
    12,875.41/17,763.93 = 7,209.33/x
  3. Step 3: Cross multiply
    12,875.41x = 17,763.93 × 7,209.33
  4. Step 4: Simplify right side
    12,875.41x = 128,066,033.47
  5. Step 5: Solve for x
    x = 128,066,033.47/12,875.41
  6. Step 6: Final answer
    x = 9,946.56

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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.