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Finding the Fourth Proportional to 9,477.50, 13,079.00 and 5,228.71

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Solution

The fourth proportional to 9,477.50, 13,079.00 and 5,228.71 is: 7,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.50 : 13,079.00 = 5,228.71 : x
  2. Step 2: Convert to fraction form
    9,477.50/13,079.00 = 5,228.71/x
  3. Step 3: Cross multiply
    9,477.50x = 13,079.00 × 5,228.71
  4. Step 4: Simplify right side
    9,477.50x = 68,386,278.46
  5. Step 5: Solve for x
    x = 68,386,278.46/9,477.50
  6. Step 6: Final answer
    x = 7,215.65

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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.