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Finding the Fourth Proportional to 13,038.77, 19,560.89 and 6,464.10

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Solution

The fourth proportional to 13,038.77, 19,560.89 and 6,464.10 is: 9,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.77 : 19,560.89 = 6,464.10 : x
  2. Step 2: Convert to fraction form
    13,038.77/19,560.89 = 6,464.10/x
  3. Step 3: Cross multiply
    13,038.77x = 19,560.89 × 6,464.10
  4. Step 4: Simplify right side
    13,038.77x = 126,443,638.56
  5. Step 5: Solve for x
    x = 126,443,638.56/13,038.77
  6. Step 6: Final answer
    x = 9,697.51

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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.