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Finding the Fourth Proportional to 8,937.64, 13,402.20 and 4,007.32

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Solution

The fourth proportional to 8,937.64, 13,402.20 and 4,007.32 is: 6,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.64 : 13,402.20 = 4,007.32 : x
  2. Step 2: Convert to fraction form
    8,937.64/13,402.20 = 4,007.32/x
  3. Step 3: Cross multiply
    8,937.64x = 13,402.20 × 4,007.32
  4. Step 4: Simplify right side
    8,937.64x = 53,706,904.10
  5. Step 5: Solve for x
    x = 53,706,904.10/8,937.64
  6. Step 6: Final answer
    x = 6,009.07

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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.