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Finding the Fourth Proportional to 9,599.18, 14,398.62 and 5,852.06

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Solution

The fourth proportional to 9,599.18, 14,398.62 and 5,852.06 is: 8,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.18 : 14,398.62 = 5,852.06 : x
  2. Step 2: Convert to fraction form
    9,599.18/14,398.62 = 5,852.06/x
  3. Step 3: Cross multiply
    9,599.18x = 14,398.62 × 5,852.06
  4. Step 4: Simplify right side
    9,599.18x = 84,261,588.16
  5. Step 5: Solve for x
    x = 84,261,588.16/9,599.18
  6. Step 6: Final answer
    x = 8,778.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.