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Finding the Fourth Proportional to 9,854.40, 14,792.40 and 6,160.80

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Solution

The fourth proportional to 9,854.40, 14,792.40 and 6,160.80 is: 9,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.40 : 14,792.40 = 6,160.80 : x
  2. Step 2: Convert to fraction form
    9,854.40/14,792.40 = 6,160.80/x
  3. Step 3: Cross multiply
    9,854.40x = 14,792.40 × 6,160.80
  4. Step 4: Simplify right side
    9,854.40x = 91,133,017.92
  5. Step 5: Solve for x
    x = 91,133,017.92/9,854.40
  6. Step 6: Final answer
    x = 9,247.95

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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.