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Finding the Fourth Proportional to 9,277.43, 12,803.75 and 5,298.84

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Solution

The fourth proportional to 9,277.43, 12,803.75 and 5,298.84 is: 7,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.43 : 12,803.75 = 5,298.84 : x
  2. Step 2: Convert to fraction form
    9,277.43/12,803.75 = 5,298.84/x
  3. Step 3: Cross multiply
    9,277.43x = 12,803.75 × 5,298.84
  4. Step 4: Simplify right side
    9,277.43x = 67,844,996.16
  5. Step 5: Solve for x
    x = 67,844,996.16/9,277.43
  6. Step 6: Final answer
    x = 7,312.91

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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.