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Finding the Fourth Proportional to 9,277.56, 12,801.78 and 5,298.39

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Solution

The fourth proportional to 9,277.56, 12,801.78 and 5,298.39 is: 7,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.56 : 12,801.78 = 5,298.39 : x
  2. Step 2: Convert to fraction form
    9,277.56/12,801.78 = 5,298.39/x
  3. Step 3: Cross multiply
    9,277.56x = 12,801.78 × 5,298.39
  4. Step 4: Simplify right side
    9,277.56x = 67,828,823.13
  5. Step 5: Solve for x
    x = 67,828,823.13/9,277.56
  6. Step 6: Final answer
    x = 7,311.06

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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.