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Finding the Fourth Proportional to 9,445.68, 14,165.64 and 7,592.40

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Solution

The fourth proportional to 9,445.68, 14,165.64 and 7,592.40 is: 11,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.68 : 14,165.64 = 7,592.40 : x
  2. Step 2: Convert to fraction form
    9,445.68/14,165.64 = 7,592.40/x
  3. Step 3: Cross multiply
    9,445.68x = 14,165.64 × 7,592.40
  4. Step 4: Simplify right side
    9,445.68x = 107,551,205.14
  5. Step 5: Solve for x
    x = 107,551,205.14/9,445.68
  6. Step 6: Final answer
    x = 11,386.29

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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.