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Finding the Fourth Proportional to 9,543.29, 14,256.68 and 7,597.67

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Solution

The fourth proportional to 9,543.29, 14,256.68 and 7,597.67 is: 11,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.29 : 14,256.68 = 7,597.67 : x
  2. Step 2: Convert to fraction form
    9,543.29/14,256.68 = 7,597.67/x
  3. Step 3: Cross multiply
    9,543.29x = 14,256.68 × 7,597.67
  4. Step 4: Simplify right side
    9,543.29x = 108,317,440.66
  5. Step 5: Solve for x
    x = 108,317,440.66/9,543.29
  6. Step 6: Final answer
    x = 11,350.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.