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Finding the Fourth Proportional to 9,101.93, 12,559.29 and 5,122.80

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Solution

The fourth proportional to 9,101.93, 12,559.29 and 5,122.80 is: 7,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.93 : 12,559.29 = 5,122.80 : x
  2. Step 2: Convert to fraction form
    9,101.93/12,559.29 = 5,122.80/x
  3. Step 3: Cross multiply
    9,101.93x = 12,559.29 × 5,122.80
  4. Step 4: Simplify right side
    9,101.93x = 64,338,730.81
  5. Step 5: Solve for x
    x = 64,338,730.81/9,101.93
  6. Step 6: Final answer
    x = 7,068.69

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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.