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Finding the Fourth Proportional to 9,739.58, 14,597.04 and 5,058.74

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Solution

The fourth proportional to 9,739.58, 14,597.04 and 5,058.74 is: 7,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.58 : 14,597.04 = 5,058.74 : x
  2. Step 2: Convert to fraction form
    9,739.58/14,597.04 = 5,058.74/x
  3. Step 3: Cross multiply
    9,739.58x = 14,597.04 × 5,058.74
  4. Step 4: Simplify right side
    9,739.58x = 73,842,630.13
  5. Step 5: Solve for x
    x = 73,842,630.13/9,739.58
  6. Step 6: Final answer
    x = 7,581.71

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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.