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Finding the Fourth Proportional to 7,086.42, 9,779.73 and 4,732.50

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Solution

The fourth proportional to 7,086.42, 9,779.73 and 4,732.50 is: 6,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.42 : 9,779.73 = 4,732.50 : x
  2. Step 2: Convert to fraction form
    7,086.42/9,779.73 = 4,732.50/x
  3. Step 3: Cross multiply
    7,086.42x = 9,779.73 × 4,732.50
  4. Step 4: Simplify right side
    7,086.42x = 46,282,572.23
  5. Step 5: Solve for x
    x = 46,282,572.23/7,086.42
  6. Step 6: Final answer
    x = 6,531.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.