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Finding the Fourth Proportional to 9,389.59, 14,065.54 and 4,463.98

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Solution

The fourth proportional to 9,389.59, 14,065.54 and 4,463.98 is: 6,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.59 : 14,065.54 = 4,463.98 : x
  2. Step 2: Convert to fraction form
    9,389.59/14,065.54 = 4,463.98/x
  3. Step 3: Cross multiply
    9,389.59x = 14,065.54 × 4,463.98
  4. Step 4: Simplify right side
    9,389.59x = 62,788,289.25
  5. Step 5: Solve for x
    x = 62,788,289.25/9,389.59
  6. Step 6: Final answer
    x = 6,687.01

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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.