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Finding the Fourth Proportional to 9,574.56, 14,339.34 and 7,365.60

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Solution

The fourth proportional to 9,574.56, 14,339.34 and 7,365.60 is: 11,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.56 : 14,339.34 = 7,365.60 : x
  2. Step 2: Convert to fraction form
    9,574.56/14,339.34 = 7,365.60/x
  3. Step 3: Cross multiply
    9,574.56x = 14,339.34 × 7,365.60
  4. Step 4: Simplify right side
    9,574.56x = 105,617,842.70
  5. Step 5: Solve for x
    x = 105,617,842.70/9,574.56
  6. Step 6: Final answer
    x = 11,031.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.