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Finding the Fourth Proportional to 9,931.95, 13,721.81 and 9,144.63

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Solution

The fourth proportional to 9,931.95, 13,721.81 and 9,144.63 is: 12,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.95 : 13,721.81 = 9,144.63 : x
  2. Step 2: Convert to fraction form
    9,931.95/13,721.81 = 9,144.63/x
  3. Step 3: Cross multiply
    9,931.95x = 13,721.81 × 9,144.63
  4. Step 4: Simplify right side
    9,931.95x = 125,480,829.66
  5. Step 5: Solve for x
    x = 125,480,829.66/9,931.95
  6. Step 6: Final answer
    x = 12,634.06

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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.