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Finding the Fourth Proportional to 9,559.94, 13,193.53 and 5,582.32

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Solution

The fourth proportional to 9,559.94, 13,193.53 and 5,582.32 is: 7,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.94 : 13,193.53 = 5,582.32 : x
  2. Step 2: Convert to fraction form
    9,559.94/13,193.53 = 5,582.32/x
  3. Step 3: Cross multiply
    9,559.94x = 13,193.53 × 5,582.32
  4. Step 4: Simplify right side
    9,559.94x = 73,650,459.45
  5. Step 5: Solve for x
    x = 73,650,459.45/9,559.94
  6. Step 6: Final answer
    x = 7,704.08

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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.