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Finding the Fourth Proportional to 9,695.22, 14,544.63 and 6,411.06

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Solution

The fourth proportional to 9,695.22, 14,544.63 and 6,411.06 is: 9,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.22 : 14,544.63 = 6,411.06 : x
  2. Step 2: Convert to fraction form
    9,695.22/14,544.63 = 6,411.06/x
  3. Step 3: Cross multiply
    9,695.22x = 14,544.63 × 6,411.06
  4. Step 4: Simplify right side
    9,695.22x = 93,246,495.61
  5. Step 5: Solve for x
    x = 93,246,495.61/9,695.22
  6. Step 6: Final answer
    x = 9,617.78

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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.