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Finding the Fourth Proportional to 9,620.16, 14,430.24 and 4,429.68

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Solution

The fourth proportional to 9,620.16, 14,430.24 and 4,429.68 is: 6,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.16 : 14,430.24 = 4,429.68 : x
  2. Step 2: Convert to fraction form
    9,620.16/14,430.24 = 4,429.68/x
  3. Step 3: Cross multiply
    9,620.16x = 14,430.24 × 4,429.68
  4. Step 4: Simplify right side
    9,620.16x = 63,921,345.52
  5. Step 5: Solve for x
    x = 63,921,345.52/9,620.16
  6. Step 6: Final answer
    x = 6,644.52

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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.