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Finding the Fourth Proportional to 9,552.26, 14,329 and 2,980.32

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Solution

The fourth proportional to 9,552.26, 14,329 and 2,980.32 is: 4,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.26 : 14,329 = 2,980.32 : x
  2. Step 2: Convert to fraction form
    9,552.26/14,329 = 2,980.32/x
  3. Step 3: Cross multiply
    9,552.26x = 14,329 × 2,980.32
  4. Step 4: Simplify right side
    9,552.26x = 42,705,005.28
  5. Step 5: Solve for x
    x = 42,705,005.28/9,552.26
  6. Step 6: Final answer
    x = 4,470.67

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