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Finding the Fourth Proportional to 9,632.16, 13,285.08 and 6,988.32

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Solution

The fourth proportional to 9,632.16, 13,285.08 and 6,988.32 is: 9,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.16 : 13,285.08 = 6,988.32 : x
  2. Step 2: Convert to fraction form
    9,632.16/13,285.08 = 6,988.32/x
  3. Step 3: Cross multiply
    9,632.16x = 13,285.08 × 6,988.32
  4. Step 4: Simplify right side
    9,632.16x = 92,840,390.27
  5. Step 5: Solve for x
    x = 92,840,390.27/9,632.16
  6. Step 6: Final answer
    x = 9,638.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.