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Finding the Fourth Proportional to 9,763.52, 14,639.68 and 3,007.34

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Solution

The fourth proportional to 9,763.52, 14,639.68 and 3,007.34 is: 4,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.52 : 14,639.68 = 3,007.34 : x
  2. Step 2: Convert to fraction form
    9,763.52/14,639.68 = 3,007.34/x
  3. Step 3: Cross multiply
    9,763.52x = 14,639.68 × 3,007.34
  4. Step 4: Simplify right side
    9,763.52x = 44,026,495.25
  5. Step 5: Solve for x
    x = 44,026,495.25/9,763.52
  6. Step 6: Final answer
    x = 4,509.29

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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.