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Finding the Fourth Proportional to 9,707.86, 13,396.72 and 5,459.63

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Solution

The fourth proportional to 9,707.86, 13,396.72 and 5,459.63 is: 7,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.86 : 13,396.72 = 5,459.63 : x
  2. Step 2: Convert to fraction form
    9,707.86/13,396.72 = 5,459.63/x
  3. Step 3: Cross multiply
    9,707.86x = 13,396.72 × 5,459.63
  4. Step 4: Simplify right side
    9,707.86x = 73,141,134.41
  5. Step 5: Solve for x
    x = 73,141,134.41/9,707.86
  6. Step 6: Final answer
    x = 7,534.22

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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.