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Finding the Fourth Proportional to 6,402.29, 9,597.58 and 5,421.42

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Solution

The fourth proportional to 6,402.29, 9,597.58 and 5,421.42 is: 8,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.29 : 9,597.58 = 5,421.42 : x
  2. Step 2: Convert to fraction form
    6,402.29/9,597.58 = 5,421.42/x
  3. Step 3: Cross multiply
    6,402.29x = 9,597.58 × 5,421.42
  4. Step 4: Simplify right side
    6,402.29x = 52,032,437.07
  5. Step 5: Solve for x
    x = 52,032,437.07/6,402.29
  6. Step 6: Final answer
    x = 8,127.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.