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Finding the Fourth Proportional to 9,482.40, 14,206.72 and 5,782.72

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Solution

The fourth proportional to 9,482.40, 14,206.72 and 5,782.72 is: 8,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.40 : 14,206.72 = 5,782.72 : x
  2. Step 2: Convert to fraction form
    9,482.40/14,206.72 = 5,782.72/x
  3. Step 3: Cross multiply
    9,482.40x = 14,206.72 × 5,782.72
  4. Step 4: Simplify right side
    9,482.40x = 82,153,483.88
  5. Step 5: Solve for x
    x = 82,153,483.88/9,482.40
  6. Step 6: Final answer
    x = 8,663.79

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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.