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Finding the Fourth Proportional to 9,698.34, 14,547.52 and 2,772.84

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Solution

The fourth proportional to 9,698.34, 14,547.52 and 2,772.84 is: 4,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.34 : 14,547.52 = 2,772.84 : x
  2. Step 2: Convert to fraction form
    9,698.34/14,547.52 = 2,772.84/x
  3. Step 3: Cross multiply
    9,698.34x = 14,547.52 × 2,772.84
  4. Step 4: Simplify right side
    9,698.34x = 40,337,945.36
  5. Step 5: Solve for x
    x = 40,337,945.36/9,698.34
  6. Step 6: Final answer
    x = 4,159.26

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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.