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Finding the Fourth Proportional to 12,973.72, 19,465.17 and 6,404.51

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Solution

The fourth proportional to 12,973.72, 19,465.17 and 6,404.51 is: 9,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.72 : 19,465.17 = 6,404.51 : x
  2. Step 2: Convert to fraction form
    12,973.72/19,465.17 = 6,404.51/x
  3. Step 3: Cross multiply
    12,973.72x = 19,465.17 × 6,404.51
  4. Step 4: Simplify right side
    12,973.72x = 124,664,875.92
  5. Step 5: Solve for x
    x = 124,664,875.92/12,973.72
  6. Step 6: Final answer
    x = 9,609.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.