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Finding the Fourth Proportional to 9,590.40, 14,364 and 5,203.44

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Solution

The fourth proportional to 9,590.40, 14,364 and 5,203.44 is: 7,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.40 : 14,364 = 5,203.44 : x
  2. Step 2: Convert to fraction form
    9,590.40/14,364 = 5,203.44/x
  3. Step 3: Cross multiply
    9,590.40x = 14,364 × 5,203.44
  4. Step 4: Simplify right side
    9,590.40x = 74,742,212.16
  5. Step 5: Solve for x
    x = 74,742,212.16/9,590.40
  6. Step 6: Final answer
    x = 7,793.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.