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Finding the Fourth Proportional to 9,435.42, 13,008.87 and 5,897.34

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Solution

The fourth proportional to 9,435.42, 13,008.87 and 5,897.34 is: 8,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.42 : 13,008.87 = 5,897.34 : x
  2. Step 2: Convert to fraction form
    9,435.42/13,008.87 = 5,897.34/x
  3. Step 3: Cross multiply
    9,435.42x = 13,008.87 × 5,897.34
  4. Step 4: Simplify right side
    9,435.42x = 76,717,729.41
  5. Step 5: Solve for x
    x = 76,717,729.41/9,435.42
  6. Step 6: Final answer
    x = 8,130.82

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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.