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Finding the Fourth Proportional to 9,812.84, 13,517.55 and 9,312.66

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Solution

The fourth proportional to 9,812.84, 13,517.55 and 9,312.66 is: 12,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.84 : 13,517.55 = 9,312.66 : x
  2. Step 2: Convert to fraction form
    9,812.84/13,517.55 = 9,312.66/x
  3. Step 3: Cross multiply
    9,812.84x = 13,517.55 × 9,312.66
  4. Step 4: Simplify right side
    9,812.84x = 125,884,347.18
  5. Step 5: Solve for x
    x = 125,884,347.18/9,812.84
  6. Step 6: Final answer
    x = 12,828.54

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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.