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Finding the Fourth Proportional to 9,460.76, 13,055.84 and 5,269

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Solution

The fourth proportional to 9,460.76, 13,055.84 and 5,269 is: 7,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.76 : 13,055.84 = 5,269 : x
  2. Step 2: Convert to fraction form
    9,460.76/13,055.84 = 5,269/x
  3. Step 3: Cross multiply
    9,460.76x = 13,055.84 × 5,269
  4. Step 4: Simplify right side
    9,460.76x = 68,791,220.96
  5. Step 5: Solve for x
    x = 68,791,220.96/9,460.76
  6. Step 6: Final answer
    x = 7,271.22

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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.