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Finding the Fourth Proportional to 9,127.84, 12,602.64 and 6,143.80

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Solution

The fourth proportional to 9,127.84, 12,602.64 and 6,143.80 is: 8,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.84 : 12,602.64 = 6,143.80 : x
  2. Step 2: Convert to fraction form
    9,127.84/12,602.64 = 6,143.80/x
  3. Step 3: Cross multiply
    9,127.84x = 12,602.64 × 6,143.80
  4. Step 4: Simplify right side
    9,127.84x = 77,428,099.63
  5. Step 5: Solve for x
    x = 77,428,099.63/9,127.84
  6. Step 6: Final answer
    x = 8,482.63

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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.