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Finding the Fourth Proportional to 9,345.93, 12,896.80 and 5,364.24

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Solution

The fourth proportional to 9,345.93, 12,896.80 and 5,364.24 is: 7,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.93 : 12,896.80 = 5,364.24 : x
  2. Step 2: Convert to fraction form
    9,345.93/12,896.80 = 5,364.24/x
  3. Step 3: Cross multiply
    9,345.93x = 12,896.80 × 5,364.24
  4. Step 4: Simplify right side
    9,345.93x = 69,181,503.61
  5. Step 5: Solve for x
    x = 69,181,503.61/9,345.93
  6. Step 6: Final answer
    x = 7,402.31

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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.