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Finding the Fourth Proportional to 9,776.71, 13,495.15 and 6,095.98

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Solution

The fourth proportional to 9,776.71, 13,495.15 and 6,095.98 is: 8,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.71 : 13,495.15 = 6,095.98 : x
  2. Step 2: Convert to fraction form
    9,776.71/13,495.15 = 6,095.98/x
  3. Step 3: Cross multiply
    9,776.71x = 13,495.15 × 6,095.98
  4. Step 4: Simplify right side
    9,776.71x = 82,266,164.50
  5. Step 5: Solve for x
    x = 82,266,164.50/9,776.71
  6. Step 6: Final answer
    x = 8,414.50

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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.