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Finding the Fourth Proportional to 9,715.51, 14,573.54 and 3,792.16

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Solution

The fourth proportional to 9,715.51, 14,573.54 and 3,792.16 is: 5,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.51 : 14,573.54 = 3,792.16 : x
  2. Step 2: Convert to fraction form
    9,715.51/14,573.54 = 3,792.16/x
  3. Step 3: Cross multiply
    9,715.51x = 14,573.54 × 3,792.16
  4. Step 4: Simplify right side
    9,715.51x = 55,265,140.05
  5. Step 5: Solve for x
    x = 55,265,140.05/9,715.51
  6. Step 6: Final answer
    x = 5,688.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.