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Finding the Fourth Proportional to 9,598.46, 13,246.54 and 5,821.78

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Solution

The fourth proportional to 9,598.46, 13,246.54 and 5,821.78 is: 8,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.46 : 13,246.54 = 5,821.78 : x
  2. Step 2: Convert to fraction form
    9,598.46/13,246.54 = 5,821.78/x
  3. Step 3: Cross multiply
    9,598.46x = 13,246.54 × 5,821.78
  4. Step 4: Simplify right side
    9,598.46x = 77,118,441.64
  5. Step 5: Solve for x
    x = 77,118,441.64/9,598.46
  6. Step 6: Final answer
    x = 8,034.46

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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.