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Finding the Fourth Proportional to 9,649.26, 13,316.37 and 5,457.50

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Solution

The fourth proportional to 9,649.26, 13,316.37 and 5,457.50 is: 7,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.26 : 13,316.37 = 5,457.50 : x
  2. Step 2: Convert to fraction form
    9,649.26/13,316.37 = 5,457.50/x
  3. Step 3: Cross multiply
    9,649.26x = 13,316.37 × 5,457.50
  4. Step 4: Simplify right side
    9,649.26x = 72,674,089.28
  5. Step 5: Solve for x
    x = 72,674,089.28/9,649.26
  6. Step 6: Final answer
    x = 7,531.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.