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Finding the Fourth Proportional to 9,767.36, 13,484.71 and 6,416.02

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Solution

The fourth proportional to 9,767.36, 13,484.71 and 6,416.02 is: 8,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.36 : 13,484.71 = 6,416.02 : x
  2. Step 2: Convert to fraction form
    9,767.36/13,484.71 = 6,416.02/x
  3. Step 3: Cross multiply
    9,767.36x = 13,484.71 × 6,416.02
  4. Step 4: Simplify right side
    9,767.36x = 86,518,193.93
  5. Step 5: Solve for x
    x = 86,518,193.93/9,767.36
  6. Step 6: Final answer
    x = 8,857.89

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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.