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Finding the Fourth Proportional to 9,643.68, 14,454.90 and 6,307.92

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Solution

The fourth proportional to 9,643.68, 14,454.90 and 6,307.92 is: 9,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.68 : 14,454.90 = 6,307.92 : x
  2. Step 2: Convert to fraction form
    9,643.68/14,454.90 = 6,307.92/x
  3. Step 3: Cross multiply
    9,643.68x = 14,454.90 × 6,307.92
  4. Step 4: Simplify right side
    9,643.68x = 91,180,352.81
  5. Step 5: Solve for x
    x = 91,180,352.81/9,643.68
  6. Step 6: Final answer
    x = 9,454.93

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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.