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Finding the Fourth Proportional to 9,218, 12,720.93 and 5,026.34

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Solution

The fourth proportional to 9,218, 12,720.93 and 5,026.34 is: 6,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218 : 12,720.93 = 5,026.34 : x
  2. Step 2: Convert to fraction form
    9,218/12,720.93 = 5,026.34/x
  3. Step 3: Cross multiply
    9,218x = 12,720.93 × 5,026.34
  4. Step 4: Simplify right side
    9,218x = 63,939,719.30
  5. Step 5: Solve for x
    x = 63,939,719.30/9,218
  6. Step 6: Final answer
    x = 6,936.40

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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.