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Finding the Fourth Proportional to 9,696.88, 14,545.26 and 5,802.40

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Solution

The fourth proportional to 9,696.88, 14,545.26 and 5,802.40 is: 8,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.88 : 14,545.26 = 5,802.40 : x
  2. Step 2: Convert to fraction form
    9,696.88/14,545.26 = 5,802.40/x
  3. Step 3: Cross multiply
    9,696.88x = 14,545.26 × 5,802.40
  4. Step 4: Simplify right side
    9,696.88x = 84,397,416.62
  5. Step 5: Solve for x
    x = 84,397,416.62/9,696.88
  6. Step 6: Final answer
    x = 8,703.56

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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.