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Finding the Fourth Proportional to 9,359.68, 12,914.88 and 5,582.68

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Solution

The fourth proportional to 9,359.68, 12,914.88 and 5,582.68 is: 7,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.68 : 12,914.88 = 5,582.68 : x
  2. Step 2: Convert to fraction form
    9,359.68/12,914.88 = 5,582.68/x
  3. Step 3: Cross multiply
    9,359.68x = 12,914.88 × 5,582.68
  4. Step 4: Simplify right side
    9,359.68x = 72,099,642.28
  5. Step 5: Solve for x
    x = 72,099,642.28/9,359.68
  6. Step 6: Final answer
    x = 7,703.22

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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.