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Finding the Fourth Proportional to 9,357.84, 14,038.68 and 3,202.32

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Solution

The fourth proportional to 9,357.84, 14,038.68 and 3,202.32 is: 4,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.84 : 14,038.68 = 3,202.32 : x
  2. Step 2: Convert to fraction form
    9,357.84/14,038.68 = 3,202.32/x
  3. Step 3: Cross multiply
    9,357.84x = 14,038.68 × 3,202.32
  4. Step 4: Simplify right side
    9,357.84x = 44,956,345.74
  5. Step 5: Solve for x
    x = 44,956,345.74/9,357.84
  6. Step 6: Final answer
    x = 4,804.14

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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.