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Finding the Fourth Proportional to 9,338.01, 12,886.93 and 5,146.26

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Solution

The fourth proportional to 9,338.01, 12,886.93 and 5,146.26 is: 7,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.01 : 12,886.93 = 5,146.26 : x
  2. Step 2: Convert to fraction form
    9,338.01/12,886.93 = 5,146.26/x
  3. Step 3: Cross multiply
    9,338.01x = 12,886.93 × 5,146.26
  4. Step 4: Simplify right side
    9,338.01x = 66,319,415.08
  5. Step 5: Solve for x
    x = 66,319,415.08/9,338.01
  6. Step 6: Final answer
    x = 7,102.10

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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.