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Finding the Fourth Proportional to 9,483.20, 14,207.72 and 5,585.48

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Solution

The fourth proportional to 9,483.20, 14,207.72 and 5,585.48 is: 8,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.20 : 14,207.72 = 5,585.48 : x
  2. Step 2: Convert to fraction form
    9,483.20/14,207.72 = 5,585.48/x
  3. Step 3: Cross multiply
    9,483.20x = 14,207.72 × 5,585.48
  4. Step 4: Simplify right side
    9,483.20x = 79,356,935.91
  5. Step 5: Solve for x
    x = 79,356,935.91/9,483.20
  6. Step 6: Final answer
    x = 8,368.16

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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.