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Finding the Fourth Proportional to 9,124.34, 12,590.65 and 6,735.58

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Solution

The fourth proportional to 9,124.34, 12,590.65 and 6,735.58 is: 9,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.34 : 12,590.65 = 6,735.58 : x
  2. Step 2: Convert to fraction form
    9,124.34/12,590.65 = 6,735.58/x
  3. Step 3: Cross multiply
    9,124.34x = 12,590.65 × 6,735.58
  4. Step 4: Simplify right side
    9,124.34x = 84,805,296.65
  5. Step 5: Solve for x
    x = 84,805,296.65/9,124.34
  6. Step 6: Final answer
    x = 9,294.40

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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.