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Finding the Fourth Proportional to 9,004.65, 13,505.76 and 3,160.50

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Solution

The fourth proportional to 9,004.65, 13,505.76 and 3,160.50 is: 4,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.65 : 13,505.76 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    9,004.65/13,505.76 = 3,160.50/x
  3. Step 3: Cross multiply
    9,004.65x = 13,505.76 × 3,160.50
  4. Step 4: Simplify right side
    9,004.65x = 42,684,954.48
  5. Step 5: Solve for x
    x = 42,684,954.48/9,004.65
  6. Step 6: Final answer
    x = 4,740.32

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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.