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Finding the Fourth Proportional to 9,581.64, 13,219.58 and 5,803.60

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Solution

The fourth proportional to 9,581.64, 13,219.58 and 5,803.60 is: 8,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.64 : 13,219.58 = 5,803.60 : x
  2. Step 2: Convert to fraction form
    9,581.64/13,219.58 = 5,803.60/x
  3. Step 3: Cross multiply
    9,581.64x = 13,219.58 × 5,803.60
  4. Step 4: Simplify right side
    9,581.64x = 76,721,154.49
  5. Step 5: Solve for x
    x = 76,721,154.49/9,581.64
  6. Step 6: Final answer
    x = 8,007.10

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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.