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Finding the Fourth Proportional to 9,775.98, 13,497.09 and 6,424.74

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Solution

The fourth proportional to 9,775.98, 13,497.09 and 6,424.74 is: 8,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.98 : 13,497.09 = 6,424.74 : x
  2. Step 2: Convert to fraction form
    9,775.98/13,497.09 = 6,424.74/x
  3. Step 3: Cross multiply
    9,775.98x = 13,497.09 × 6,424.74
  4. Step 4: Simplify right side
    9,775.98x = 86,715,294.01
  5. Step 5: Solve for x
    x = 86,715,294.01/9,775.98
  6. Step 6: Final answer
    x = 8,870.24

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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.