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Finding the Fourth Proportional to 9,774.07, 13,484.68 and 6,418.69

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Solution

The fourth proportional to 9,774.07, 13,484.68 and 6,418.69 is: 8,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.07 : 13,484.68 = 6,418.69 : x
  2. Step 2: Convert to fraction form
    9,774.07/13,484.68 = 6,418.69/x
  3. Step 3: Cross multiply
    9,774.07x = 13,484.68 × 6,418.69
  4. Step 4: Simplify right side
    9,774.07x = 86,554,006.76
  5. Step 5: Solve for x
    x = 86,554,006.76/9,774.07
  6. Step 6: Final answer
    x = 8,855.47

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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.