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Finding the Fourth Proportional to 9,421.65, 13,001.97 and 5,442.68

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Solution

The fourth proportional to 9,421.65, 13,001.97 and 5,442.68 is: 7,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.65 : 13,001.97 = 5,442.68 : x
  2. Step 2: Convert to fraction form
    9,421.65/13,001.97 = 5,442.68/x
  3. Step 3: Cross multiply
    9,421.65x = 13,001.97 × 5,442.68
  4. Step 4: Simplify right side
    9,421.65x = 70,765,497.07
  5. Step 5: Solve for x
    x = 70,765,497.07/9,421.65
  6. Step 6: Final answer
    x = 7,510.95

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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.