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Finding the Fourth Proportional to 9,354.93, 12,909.84 and 5,106.06

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Solution

The fourth proportional to 9,354.93, 12,909.84 and 5,106.06 is: 7,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.93 : 12,909.84 = 5,106.06 : x
  2. Step 2: Convert to fraction form
    9,354.93/12,909.84 = 5,106.06/x
  3. Step 3: Cross multiply
    9,354.93x = 12,909.84 × 5,106.06
  4. Step 4: Simplify right side
    9,354.93x = 65,918,417.63
  5. Step 5: Solve for x
    x = 65,918,417.63/9,354.93
  6. Step 6: Final answer
    x = 7,046.38

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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.