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Finding the Fourth Proportional to 9,101.84, 12,561.48 and 5,567.40

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Solution

The fourth proportional to 9,101.84, 12,561.48 and 5,567.40 is: 7,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.84 : 12,561.48 = 5,567.40 : x
  2. Step 2: Convert to fraction form
    9,101.84/12,561.48 = 5,567.40/x
  3. Step 3: Cross multiply
    9,101.84x = 12,561.48 × 5,567.40
  4. Step 4: Simplify right side
    9,101.84x = 69,934,783.75
  5. Step 5: Solve for x
    x = 69,934,783.75/9,101.84
  6. Step 6: Final answer
    x = 7,683.59

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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.