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Finding the Fourth Proportional to 9,575.81, 13,212.47 and 5,542.01

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Solution

The fourth proportional to 9,575.81, 13,212.47 and 5,542.01 is: 7,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.81 : 13,212.47 = 5,542.01 : x
  2. Step 2: Convert to fraction form
    9,575.81/13,212.47 = 5,542.01/x
  3. Step 3: Cross multiply
    9,575.81x = 13,212.47 × 5,542.01
  4. Step 4: Simplify right side
    9,575.81x = 73,223,547.09
  5. Step 5: Solve for x
    x = 73,223,547.09/9,575.81
  6. Step 6: Final answer
    x = 7,646.72

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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.