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Finding the Fourth Proportional to 9,830.66, 13,557.92 and 6,053.90

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Solution

The fourth proportional to 9,830.66, 13,557.92 and 6,053.90 is: 8,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.66 : 13,557.92 = 6,053.90 : x
  2. Step 2: Convert to fraction form
    9,830.66/13,557.92 = 6,053.90/x
  3. Step 3: Cross multiply
    9,830.66x = 13,557.92 × 6,053.90
  4. Step 4: Simplify right side
    9,830.66x = 82,078,291.89
  5. Step 5: Solve for x
    x = 82,078,291.89/9,830.66
  6. Step 6: Final answer
    x = 8,349.21

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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.