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Finding the Fourth Proportional to 9,437.65, 13,024.13 and 5,405.33

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Solution

The fourth proportional to 9,437.65, 13,024.13 and 5,405.33 is: 7,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.65 : 13,024.13 = 5,405.33 : x
  2. Step 2: Convert to fraction form
    9,437.65/13,024.13 = 5,405.33/x
  3. Step 3: Cross multiply
    9,437.65x = 13,024.13 × 5,405.33
  4. Step 4: Simplify right side
    9,437.65x = 70,399,726.15
  5. Step 5: Solve for x
    x = 70,399,726.15/9,437.65
  6. Step 6: Final answer
    x = 7,459.46

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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.