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Finding the Fourth Proportional to 9,597.76, 14,400.33 and 3,358.42

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Solution

The fourth proportional to 9,597.76, 14,400.33 and 3,358.42 is: 5,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.76 : 14,400.33 = 3,358.42 : x
  2. Step 2: Convert to fraction form
    9,597.76/14,400.33 = 3,358.42/x
  3. Step 3: Cross multiply
    9,597.76x = 14,400.33 × 3,358.42
  4. Step 4: Simplify right side
    9,597.76x = 48,362,356.28
  5. Step 5: Solve for x
    x = 48,362,356.28/9,597.76
  6. Step 6: Final answer
    x = 5,038.92

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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.