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Finding the Fourth Proportional to 9,643.18, 14,448.24 and 6,474.68

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Solution

The fourth proportional to 9,643.18, 14,448.24 and 6,474.68 is: 9,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.18 : 14,448.24 = 6,474.68 : x
  2. Step 2: Convert to fraction form
    9,643.18/14,448.24 = 6,474.68/x
  3. Step 3: Cross multiply
    9,643.18x = 14,448.24 × 6,474.68
  4. Step 4: Simplify right side
    9,643.18x = 93,547,766.68
  5. Step 5: Solve for x
    x = 93,547,766.68/9,643.18
  6. Step 6: Final answer
    x = 9,700.93

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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.