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Finding the Fourth Proportional to 9,722.92, 14,561.16 and 5,030.32

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Solution

The fourth proportional to 9,722.92, 14,561.16 and 5,030.32 is: 7,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.92 : 14,561.16 = 5,030.32 : x
  2. Step 2: Convert to fraction form
    9,722.92/14,561.16 = 5,030.32/x
  3. Step 3: Cross multiply
    9,722.92x = 14,561.16 × 5,030.32
  4. Step 4: Simplify right side
    9,722.92x = 73,247,294.37
  5. Step 5: Solve for x
    x = 73,247,294.37/9,722.92
  6. Step 6: Final answer
    x = 7,533.47

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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.