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Finding the Fourth Proportional to 9,779.04, 14,657.52 and 4,852.20

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Solution

The fourth proportional to 9,779.04, 14,657.52 and 4,852.20 is: 7,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.04 : 14,657.52 = 4,852.20 : x
  2. Step 2: Convert to fraction form
    9,779.04/14,657.52 = 4,852.20/x
  3. Step 3: Cross multiply
    9,779.04x = 14,657.52 × 4,852.20
  4. Step 4: Simplify right side
    9,779.04x = 71,121,218.54
  5. Step 5: Solve for x
    x = 71,121,218.54/9,779.04
  6. Step 6: Final answer
    x = 7,272.82

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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.