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Finding the Fourth Proportional to 9,637.70, 14,457.47 and 3,792.94

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Solution

The fourth proportional to 9,637.70, 14,457.47 and 3,792.94 is: 5,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.70 : 14,457.47 = 3,792.94 : x
  2. Step 2: Convert to fraction form
    9,637.70/14,457.47 = 3,792.94/x
  3. Step 3: Cross multiply
    9,637.70x = 14,457.47 × 3,792.94
  4. Step 4: Simplify right side
    9,637.70x = 54,836,261.15
  5. Step 5: Solve for x
    x = 54,836,261.15/9,637.70
  6. Step 6: Final answer
    x = 5,689.77

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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.