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Finding the Fourth Proportional to 9,482.40, 14,223.60 and 2,556.88

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Solution

The fourth proportional to 9,482.40, 14,223.60 and 2,556.88 is: 3,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.40 : 14,223.60 = 2,556.88 : x
  2. Step 2: Convert to fraction form
    9,482.40/14,223.60 = 2,556.88/x
  3. Step 3: Cross multiply
    9,482.40x = 14,223.60 × 2,556.88
  4. Step 4: Simplify right side
    9,482.40x = 36,368,038.37
  5. Step 5: Solve for x
    x = 36,368,038.37/9,482.40
  6. Step 6: Final answer
    x = 3,835.32

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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.