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Finding the Fourth Proportional to 9,473.61, 14,206.10 and 4,545.57

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Solution

The fourth proportional to 9,473.61, 14,206.10 and 4,545.57 is: 6,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.61 : 14,206.10 = 4,545.57 : x
  2. Step 2: Convert to fraction form
    9,473.61/14,206.10 = 4,545.57/x
  3. Step 3: Cross multiply
    9,473.61x = 14,206.10 × 4,545.57
  4. Step 4: Simplify right side
    9,473.61x = 64,574,799.25
  5. Step 5: Solve for x
    x = 64,574,799.25/9,473.61
  6. Step 6: Final answer
    x = 6,816.28

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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.