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Finding the Fourth Proportional to 9,133.62, 13,695.18 and 3,580.47

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Solution

The fourth proportional to 9,133.62, 13,695.18 and 3,580.47 is: 5,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.62 : 13,695.18 = 3,580.47 : x
  2. Step 2: Convert to fraction form
    9,133.62/13,695.18 = 3,580.47/x
  3. Step 3: Cross multiply
    9,133.62x = 13,695.18 × 3,580.47
  4. Step 4: Simplify right side
    9,133.62x = 49,035,181.13
  5. Step 5: Solve for x
    x = 49,035,181.13/9,133.62
  6. Step 6: Final answer
    x = 5,368.65

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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.