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Finding the Fourth Proportional to 9,607.32, 13,259.22 and 5,416.32

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Solution

The fourth proportional to 9,607.32, 13,259.22 and 5,416.32 is: 7,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.32 : 13,259.22 = 5,416.32 : x
  2. Step 2: Convert to fraction form
    9,607.32/13,259.22 = 5,416.32/x
  3. Step 3: Cross multiply
    9,607.32x = 13,259.22 × 5,416.32
  4. Step 4: Simplify right side
    9,607.32x = 71,816,178.47
  5. Step 5: Solve for x
    x = 71,816,178.47/9,607.32
  6. Step 6: Final answer
    x = 7,475.15

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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.