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Finding the Fourth Proportional to 9,802.77, 14,706.35 and 3,228.72

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Solution

The fourth proportional to 9,802.77, 14,706.35 and 3,228.72 is: 4,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.77 : 14,706.35 = 3,228.72 : x
  2. Step 2: Convert to fraction form
    9,802.77/14,706.35 = 3,228.72/x
  3. Step 3: Cross multiply
    9,802.77x = 14,706.35 × 3,228.72
  4. Step 4: Simplify right side
    9,802.77x = 47,482,686.37
  5. Step 5: Solve for x
    x = 47,482,686.37/9,802.77
  6. Step 6: Final answer
    x = 4,843.80

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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.