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Finding the Fourth Proportional to 9,545.60, 14,311.47 and 6,417.84

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Solution

The fourth proportional to 9,545.60, 14,311.47 and 6,417.84 is: 9,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.60 : 14,311.47 = 6,417.84 : x
  2. Step 2: Convert to fraction form
    9,545.60/14,311.47 = 6,417.84/x
  3. Step 3: Cross multiply
    9,545.60x = 14,311.47 × 6,417.84
  4. Step 4: Simplify right side
    9,545.60x = 91,848,724.62
  5. Step 5: Solve for x
    x = 91,848,724.62/9,545.60
  6. Step 6: Final answer
    x = 9,622.10

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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.