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Finding the Fourth Proportional to 9,852.03, 14,678.48 and 9,381.83

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Solution

The fourth proportional to 9,852.03, 14,678.48 and 9,381.83 is: 13,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.03 : 14,678.48 = 9,381.83 : x
  2. Step 2: Convert to fraction form
    9,852.03/14,678.48 = 9,381.83/x
  3. Step 3: Cross multiply
    9,852.03x = 14,678.48 × 9,381.83
  4. Step 4: Simplify right side
    9,852.03x = 137,710,914.50
  5. Step 5: Solve for x
    x = 137,710,914.50/9,852.03
  6. Step 6: Final answer
    x = 13,977.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.