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Finding the Fourth Proportional to 9,681.95, 13,359.47 and 5,703.86

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Solution

The fourth proportional to 9,681.95, 13,359.47 and 5,703.86 is: 7,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.95 : 13,359.47 = 5,703.86 : x
  2. Step 2: Convert to fraction form
    9,681.95/13,359.47 = 5,703.86/x
  3. Step 3: Cross multiply
    9,681.95x = 13,359.47 × 5,703.86
  4. Step 4: Simplify right side
    9,681.95x = 76,200,451.24
  5. Step 5: Solve for x
    x = 76,200,451.24/9,681.95
  6. Step 6: Final answer
    x = 7,870.37

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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.