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Finding the Fourth Proportional to 9,565.29, 13,197.33 and 6,029.64

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Solution

The fourth proportional to 9,565.29, 13,197.33 and 6,029.64 is: 8,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.29 : 13,197.33 = 6,029.64 : x
  2. Step 2: Convert to fraction form
    9,565.29/13,197.33 = 6,029.64/x
  3. Step 3: Cross multiply
    9,565.29x = 13,197.33 × 6,029.64
  4. Step 4: Simplify right side
    9,565.29x = 79,575,148.86
  5. Step 5: Solve for x
    x = 79,575,148.86/9,565.29
  6. Step 6: Final answer
    x = 8,319.16

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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.