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Finding the Fourth Proportional to 9,216, 13,821.95 and 4,472.01

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Solution

The fourth proportional to 9,216, 13,821.95 and 4,472.01 is: 6,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 13,821.95 = 4,472.01 : x
  2. Step 2: Convert to fraction form
    9,216/13,821.95 = 4,472.01/x
  3. Step 3: Cross multiply
    9,216x = 13,821.95 × 4,472.01
  4. Step 4: Simplify right side
    9,216x = 61,811,876.26
  5. Step 5: Solve for x
    x = 61,811,876.26/9,216
  6. Step 6: Final answer
    x = 6,707.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.