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Finding the Fourth Proportional to 7,002.35, 9,832.45 and 7,002.35

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Solution

The fourth proportional to 7,002.35, 9,832.45 and 7,002.35 is: 9,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.35 : 9,832.45 = 7,002.35 : x
  2. Step 2: Convert to fraction form
    7,002.35/9,832.45 = 7,002.35/x
  3. Step 3: Cross multiply
    7,002.35x = 9,832.45 × 7,002.35
  4. Step 4: Simplify right side
    7,002.35x = 68,850,256.26
  5. Step 5: Solve for x
    x = 68,850,256.26/7,002.35
  6. Step 6: Final answer
    x = 9,832.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.