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Finding the Fourth Proportional to 9,648.72, 13,316.46 and 5,457.84

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Solution

The fourth proportional to 9,648.72, 13,316.46 and 5,457.84 is: 7,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.72 : 13,316.46 = 5,457.84 : x
  2. Step 2: Convert to fraction form
    9,648.72/13,316.46 = 5,457.84/x
  3. Step 3: Cross multiply
    9,648.72x = 13,316.46 × 5,457.84
  4. Step 4: Simplify right side
    9,648.72x = 72,679,108.05
  5. Step 5: Solve for x
    x = 72,679,108.05/9,648.72
  6. Step 6: Final answer
    x = 7,532.51

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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.