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Finding the Fourth Proportional to 9,830.23, 13,561.99 and 6,292.87

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Solution

The fourth proportional to 9,830.23, 13,561.99 and 6,292.87 is: 8,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.23 : 13,561.99 = 6,292.87 : x
  2. Step 2: Convert to fraction form
    9,830.23/13,561.99 = 6,292.87/x
  3. Step 3: Cross multiply
    9,830.23x = 13,561.99 × 6,292.87
  4. Step 4: Simplify right side
    9,830.23x = 85,343,840.01
  5. Step 5: Solve for x
    x = 85,343,840.01/9,830.23
  6. Step 6: Final answer
    x = 8,681.77

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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.