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Finding the Fourth Proportional to 9,032.54, 12,464.93 and 5,053.39

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Solution

The fourth proportional to 9,032.54, 12,464.93 and 5,053.39 is: 6,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.54 : 12,464.93 = 5,053.39 : x
  2. Step 2: Convert to fraction form
    9,032.54/12,464.93 = 5,053.39/x
  3. Step 3: Cross multiply
    9,032.54x = 12,464.93 × 5,053.39
  4. Step 4: Simplify right side
    9,032.54x = 62,990,134.08
  5. Step 5: Solve for x
    x = 62,990,134.08/9,032.54
  6. Step 6: Final answer
    x = 6,973.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.