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Finding the Fourth Proportional to 9,465.32, 14,206.72 and 4,788.62

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Solution

The fourth proportional to 9,465.32, 14,206.72 and 4,788.62 is: 7,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.32 : 14,206.72 = 4,788.62 : x
  2. Step 2: Convert to fraction form
    9,465.32/14,206.72 = 4,788.62/x
  3. Step 3: Cross multiply
    9,465.32x = 14,206.72 × 4,788.62
  4. Step 4: Simplify right side
    9,465.32x = 68,030,583.53
  5. Step 5: Solve for x
    x = 68,030,583.53/9,465.32
  6. Step 6: Final answer
    x = 7,187.35

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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.