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Finding the Fourth Proportional to 9,681.66, 13,359.81 and 5,374.89

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Solution

The fourth proportional to 9,681.66, 13,359.81 and 5,374.89 is: 7,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.66 : 13,359.81 = 5,374.89 : x
  2. Step 2: Convert to fraction form
    9,681.66/13,359.81 = 5,374.89/x
  3. Step 3: Cross multiply
    9,681.66x = 13,359.81 × 5,374.89
  4. Step 4: Simplify right side
    9,681.66x = 71,807,509.17
  5. Step 5: Solve for x
    x = 71,807,509.17/9,681.66
  6. Step 6: Final answer
    x = 7,416.86

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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.