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Finding the Fourth Proportional to 9,612.47, 13,263.95 and 5,836.46

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Solution

The fourth proportional to 9,612.47, 13,263.95 and 5,836.46 is: 8,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.47 : 13,263.95 = 5,836.46 : x
  2. Step 2: Convert to fraction form
    9,612.47/13,263.95 = 5,836.46/x
  3. Step 3: Cross multiply
    9,612.47x = 13,263.95 × 5,836.46
  4. Step 4: Simplify right side
    9,612.47x = 77,414,461.89
  5. Step 5: Solve for x
    x = 77,414,461.89/9,612.47
  6. Step 6: Final answer
    x = 8,053.54

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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.