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Finding the Fourth Proportional to 9,642.58, 14,447.36 and 5,263.11

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Solution

The fourth proportional to 9,642.58, 14,447.36 and 5,263.11 is: 7,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.58 : 14,447.36 = 5,263.11 : x
  2. Step 2: Convert to fraction form
    9,642.58/14,447.36 = 5,263.11/x
  3. Step 3: Cross multiply
    9,642.58x = 14,447.36 × 5,263.11
  4. Step 4: Simplify right side
    9,642.58x = 76,038,058.05
  5. Step 5: Solve for x
    x = 76,038,058.05/9,642.58
  6. Step 6: Final answer
    x = 7,885.66

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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.