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Finding the Fourth Proportional to 9,569.86, 13,205.58 and 5,536.01

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Solution

The fourth proportional to 9,569.86, 13,205.58 and 5,536.01 is: 7,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.86 : 13,205.58 = 5,536.01 : x
  2. Step 2: Convert to fraction form
    9,569.86/13,205.58 = 5,536.01/x
  3. Step 3: Cross multiply
    9,569.86x = 13,205.58 × 5,536.01
  4. Step 4: Simplify right side
    9,569.86x = 73,106,266.33
  5. Step 5: Solve for x
    x = 73,106,266.33/9,569.86
  6. Step 6: Final answer
    x = 7,639.22

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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.