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Finding the Fourth Proportional to 9,464.04, 13,059.38 and 5,486.40

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Solution

The fourth proportional to 9,464.04, 13,059.38 and 5,486.40 is: 7,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.04 : 13,059.38 = 5,486.40 : x
  2. Step 2: Convert to fraction form
    9,464.04/13,059.38 = 5,486.40/x
  3. Step 3: Cross multiply
    9,464.04x = 13,059.38 × 5,486.40
  4. Step 4: Simplify right side
    9,464.04x = 71,648,982.43
  5. Step 5: Solve for x
    x = 71,648,982.43/9,464.04
  6. Step 6: Final answer
    x = 7,570.66

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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.