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Finding the Fourth Proportional to 9,720.72, 14,588.64 and 5,338.08

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Solution

The fourth proportional to 9,720.72, 14,588.64 and 5,338.08 is: 8,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.72 : 14,588.64 = 5,338.08 : x
  2. Step 2: Convert to fraction form
    9,720.72/14,588.64 = 5,338.08/x
  3. Step 3: Cross multiply
    9,720.72x = 14,588.64 × 5,338.08
  4. Step 4: Simplify right side
    9,720.72x = 77,875,327.41
  5. Step 5: Solve for x
    x = 77,875,327.41/9,720.72
  6. Step 6: Final answer
    x = 8,011.27

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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.