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Finding the Fourth Proportional to 9,507.96, 14,261.40 and 5,058.72

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Solution

The fourth proportional to 9,507.96, 14,261.40 and 5,058.72 is: 7,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.96 : 14,261.40 = 5,058.72 : x
  2. Step 2: Convert to fraction form
    9,507.96/14,261.40 = 5,058.72/x
  3. Step 3: Cross multiply
    9,507.96x = 14,261.40 × 5,058.72
  4. Step 4: Simplify right side
    9,507.96x = 72,144,429.41
  5. Step 5: Solve for x
    x = 72,144,429.41/9,507.96
  6. Step 6: Final answer
    x = 7,587.79

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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.