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Finding the Fourth Proportional to 9,649.38, 13,316.40 and 5,457.72

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Solution

The fourth proportional to 9,649.38, 13,316.40 and 5,457.72 is: 7,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.38 : 13,316.40 = 5,457.72 : x
  2. Step 2: Convert to fraction form
    9,649.38/13,316.40 = 5,457.72/x
  3. Step 3: Cross multiply
    9,649.38x = 13,316.40 × 5,457.72
  4. Step 4: Simplify right side
    9,649.38x = 72,677,182.61
  5. Step 5: Solve for x
    x = 72,677,182.61/9,649.38
  6. Step 6: Final answer
    x = 7,531.80

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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.