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Finding the Fourth Proportional to 9,131.76, 12,583.24 and 6,300

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Solution

The fourth proportional to 9,131.76, 12,583.24 and 6,300 is: 8,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.76 : 12,583.24 = 6,300 : x
  2. Step 2: Convert to fraction form
    9,131.76/12,583.24 = 6,300/x
  3. Step 3: Cross multiply
    9,131.76x = 12,583.24 × 6,300
  4. Step 4: Simplify right side
    9,131.76x = 79,274,412
  5. Step 5: Solve for x
    x = 79,274,412/9,131.76
  6. Step 6: Final answer
    x = 8,681.18

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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.