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Finding the Fourth Proportional to 9,552.60, 14,332.23 and 4,291.34

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Solution

The fourth proportional to 9,552.60, 14,332.23 and 4,291.34 is: 6,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.60 : 14,332.23 = 4,291.34 : x
  2. Step 2: Convert to fraction form
    9,552.60/14,332.23 = 4,291.34/x
  3. Step 3: Cross multiply
    9,552.60x = 14,332.23 × 4,291.34
  4. Step 4: Simplify right side
    9,552.60x = 61,504,400.23
  5. Step 5: Solve for x
    x = 61,504,400.23/9,552.60
  6. Step 6: Final answer
    x = 6,438.50

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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.