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Finding the Fourth Proportional to 9,564.95, 14,348.53 and 4,631.02

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Solution

The fourth proportional to 9,564.95, 14,348.53 and 4,631.02 is: 6,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.95 : 14,348.53 = 4,631.02 : x
  2. Step 2: Convert to fraction form
    9,564.95/14,348.53 = 4,631.02/x
  3. Step 3: Cross multiply
    9,564.95x = 14,348.53 × 4,631.02
  4. Step 4: Simplify right side
    9,564.95x = 66,448,353.98
  5. Step 5: Solve for x
    x = 66,448,353.98/9,564.95
  6. Step 6: Final answer
    x = 6,947.07

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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.