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Finding the Fourth Proportional to 9,590.12, 13,237.98 and 5,612.51

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Solution

The fourth proportional to 9,590.12, 13,237.98 and 5,612.51 is: 7,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.12 : 13,237.98 = 5,612.51 : x
  2. Step 2: Convert to fraction form
    9,590.12/13,237.98 = 5,612.51/x
  3. Step 3: Cross multiply
    9,590.12x = 13,237.98 × 5,612.51
  4. Step 4: Simplify right side
    9,590.12x = 74,298,295.13
  5. Step 5: Solve for x
    x = 74,298,295.13/9,590.12
  6. Step 6: Final answer
    x = 7,747.38

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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.