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Finding the Fourth Proportional to 9,164.64, 13,746.15 and 5,006.52

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Solution

The fourth proportional to 9,164.64, 13,746.15 and 5,006.52 is: 7,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.64 : 13,746.15 = 5,006.52 : x
  2. Step 2: Convert to fraction form
    9,164.64/13,746.15 = 5,006.52/x
  3. Step 3: Cross multiply
    9,164.64x = 13,746.15 × 5,006.52
  4. Step 4: Simplify right side
    9,164.64x = 68,820,374.90
  5. Step 5: Solve for x
    x = 68,820,374.90/9,164.64
  6. Step 6: Final answer
    x = 7,509.34

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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.