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Finding the Fourth Proportional to 9,642.62, 14,465.73 and 4,378.00

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Solution

The fourth proportional to 9,642.62, 14,465.73 and 4,378.00 is: 6,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.62 : 14,465.73 = 4,378.00 : x
  2. Step 2: Convert to fraction form
    9,642.62/14,465.73 = 4,378.00/x
  3. Step 3: Cross multiply
    9,642.62x = 14,465.73 × 4,378.00
  4. Step 4: Simplify right side
    9,642.62x = 63,330,893.61
  5. Step 5: Solve for x
    x = 63,330,893.61/9,642.62
  6. Step 6: Final answer
    x = 6,567.81

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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.