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Finding the Fourth Proportional to 9,649.76, 13,317.06 and 5,458

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Solution

The fourth proportional to 9,649.76, 13,317.06 and 5,458 is: 7,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.76 : 13,317.06 = 5,458 : x
  2. Step 2: Convert to fraction form
    9,649.76/13,317.06 = 5,458/x
  3. Step 3: Cross multiply
    9,649.76x = 13,317.06 × 5,458
  4. Step 4: Simplify right side
    9,649.76x = 72,684,513.48
  5. Step 5: Solve for x
    x = 72,684,513.48/9,649.76
  6. Step 6: Final answer
    x = 7,532.26

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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.