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Finding the Fourth Proportional to 9,858.96, 14,792.04 and 4,312.80

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Solution

The fourth proportional to 9,858.96, 14,792.04 and 4,312.80 is: 6,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.96 : 14,792.04 = 4,312.80 : x
  2. Step 2: Convert to fraction form
    9,858.96/14,792.04 = 4,312.80/x
  3. Step 3: Cross multiply
    9,858.96x = 14,792.04 × 4,312.80
  4. Step 4: Simplify right side
    9,858.96x = 63,795,110.11
  5. Step 5: Solve for x
    x = 63,795,110.11/9,858.96
  6. Step 6: Final answer
    x = 6,470.77

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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.