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Finding the Fourth Proportional to 9,873.50, 13,625.43 and 5,457.50

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Solution

The fourth proportional to 9,873.50, 13,625.43 and 5,457.50 is: 7,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.50 : 13,625.43 = 5,457.50 : x
  2. Step 2: Convert to fraction form
    9,873.50/13,625.43 = 5,457.50/x
  3. Step 3: Cross multiply
    9,873.50x = 13,625.43 × 5,457.50
  4. Step 4: Simplify right side
    9,873.50x = 74,360,784.23
  5. Step 5: Solve for x
    x = 74,360,784.23/9,873.50
  6. Step 6: Final answer
    x = 7,531.35

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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.