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Finding the Fourth Proportional to 9,320, 13,980.80 and 3,164.16

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Solution

The fourth proportional to 9,320, 13,980.80 and 3,164.16 is: 4,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320 : 13,980.80 = 3,164.16 : x
  2. Step 2: Convert to fraction form
    9,320/13,980.80 = 3,164.16/x
  3. Step 3: Cross multiply
    9,320x = 13,980.80 × 3,164.16
  4. Step 4: Simplify right side
    9,320x = 44,237,488.13
  5. Step 5: Solve for x
    x = 44,237,488.13/9,320
  6. Step 6: Final answer
    x = 4,746.51

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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.