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Finding the Fourth Proportional to 9,696.16, 14,545.60 and 3,123.04

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Solution

The fourth proportional to 9,696.16, 14,545.60 and 3,123.04 is: 4,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.16 : 14,545.60 = 3,123.04 : x
  2. Step 2: Convert to fraction form
    9,696.16/14,545.60 = 3,123.04/x
  3. Step 3: Cross multiply
    9,696.16x = 14,545.60 × 3,123.04
  4. Step 4: Simplify right side
    9,696.16x = 45,426,490.62
  5. Step 5: Solve for x
    x = 45,426,490.62/9,696.16
  6. Step 6: Final answer
    x = 4,685.00

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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.