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Finding the Fourth Proportional to 9,594.14, 13,239.63 and 5,345.19

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Solution

The fourth proportional to 9,594.14, 13,239.63 and 5,345.19 is: 7,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.14 : 13,239.63 = 5,345.19 : x
  2. Step 2: Convert to fraction form
    9,594.14/13,239.63 = 5,345.19/x
  3. Step 3: Cross multiply
    9,594.14x = 13,239.63 × 5,345.19
  4. Step 4: Simplify right side
    9,594.14x = 70,768,337.88
  5. Step 5: Solve for x
    x = 70,768,337.88/9,594.14
  6. Step 6: Final answer
    x = 7,376.21

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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.