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Finding the Fourth Proportional to 9,830.79, 14,752.32 and 4,284.18

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Solution

The fourth proportional to 9,830.79, 14,752.32 and 4,284.18 is: 6,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.79 : 14,752.32 = 4,284.18 : x
  2. Step 2: Convert to fraction form
    9,830.79/14,752.32 = 4,284.18/x
  3. Step 3: Cross multiply
    9,830.79x = 14,752.32 × 4,284.18
  4. Step 4: Simplify right side
    9,830.79x = 63,201,594.30
  5. Step 5: Solve for x
    x = 63,201,594.30/9,830.79
  6. Step 6: Final answer
    x = 6,428.94

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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.