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Finding the Fourth Proportional to 9,263.53, 12,782.85 and 5,486.01

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Solution

The fourth proportional to 9,263.53, 12,782.85 and 5,486.01 is: 7,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.53 : 12,782.85 = 5,486.01 : x
  2. Step 2: Convert to fraction form
    9,263.53/12,782.85 = 5,486.01/x
  3. Step 3: Cross multiply
    9,263.53x = 12,782.85 × 5,486.01
  4. Step 4: Simplify right side
    9,263.53x = 70,126,842.93
  5. Step 5: Solve for x
    x = 70,126,842.93/9,263.53
  6. Step 6: Final answer
    x = 7,570.21

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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.