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Finding the Fourth Proportional to 9,722.16, 14,562.32 and 5,559.98

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Solution

The fourth proportional to 9,722.16, 14,562.32 and 5,559.98 is: 8,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.16 : 14,562.32 = 5,559.98 : x
  2. Step 2: Convert to fraction form
    9,722.16/14,562.32 = 5,559.98/x
  3. Step 3: Cross multiply
    9,722.16x = 14,562.32 × 5,559.98
  4. Step 4: Simplify right side
    9,722.16x = 80,966,107.34
  5. Step 5: Solve for x
    x = 80,966,107.34/9,722.16
  6. Step 6: Final answer
    x = 8,328.00

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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.