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Finding the Fourth Proportional to 8,921.60, 13,382.40 and 4,547.60

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Solution

The fourth proportional to 8,921.60, 13,382.40 and 4,547.60 is: 6,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.60 : 13,382.40 = 4,547.60 : x
  2. Step 2: Convert to fraction form
    8,921.60/13,382.40 = 4,547.60/x
  3. Step 3: Cross multiply
    8,921.60x = 13,382.40 × 4,547.60
  4. Step 4: Simplify right side
    8,921.60x = 60,857,802.24
  5. Step 5: Solve for x
    x = 60,857,802.24/8,921.60
  6. Step 6: Final answer
    x = 6,821.40

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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.