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Finding the Fourth Proportional to 9,698.31, 14,547.60 and 2,772.81

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Solution

The fourth proportional to 9,698.31, 14,547.60 and 2,772.81 is: 4,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.31 : 14,547.60 = 2,772.81 : x
  2. Step 2: Convert to fraction form
    9,698.31/14,547.60 = 2,772.81/x
  3. Step 3: Cross multiply
    9,698.31x = 14,547.60 × 2,772.81
  4. Step 4: Simplify right side
    9,698.31x = 40,337,730.76
  5. Step 5: Solve for x
    x = 40,337,730.76/9,698.31
  6. Step 6: Final answer
    x = 4,159.25

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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.