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Finding the Fourth Proportional to 9,407.04, 12,981.16 and 5,215

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Solution

The fourth proportional to 9,407.04, 12,981.16 and 5,215 is: 7,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.04 : 12,981.16 = 5,215 : x
  2. Step 2: Convert to fraction form
    9,407.04/12,981.16 = 5,215/x
  3. Step 3: Cross multiply
    9,407.04x = 12,981.16 × 5,215
  4. Step 4: Simplify right side
    9,407.04x = 67,696,749.40
  5. Step 5: Solve for x
    x = 67,696,749.40/9,407.04
  6. Step 6: Final answer
    x = 7,196.39

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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.