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Finding the Fourth Proportional to 9,328.47, 12,878.04 and 7,199.21

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Solution

The fourth proportional to 9,328.47, 12,878.04 and 7,199.21 is: 9,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.47 : 12,878.04 = 7,199.21 : x
  2. Step 2: Convert to fraction form
    9,328.47/12,878.04 = 7,199.21/x
  3. Step 3: Cross multiply
    9,328.47x = 12,878.04 × 7,199.21
  4. Step 4: Simplify right side
    9,328.47x = 92,711,746.54
  5. Step 5: Solve for x
    x = 92,711,746.54/9,328.47
  6. Step 6: Final answer
    x = 9,938.58

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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.