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Finding the Fourth Proportional to 9,114.77, 13,656.75 and 5,597.45

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Solution

The fourth proportional to 9,114.77, 13,656.75 and 5,597.45 is: 8,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.77 : 13,656.75 = 5,597.45 : x
  2. Step 2: Convert to fraction form
    9,114.77/13,656.75 = 5,597.45/x
  3. Step 3: Cross multiply
    9,114.77x = 13,656.75 × 5,597.45
  4. Step 4: Simplify right side
    9,114.77x = 76,442,975.29
  5. Step 5: Solve for x
    x = 76,442,975.29/9,114.77
  6. Step 6: Final answer
    x = 8,386.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.