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Finding the Fourth Proportional to 9,698.58, 14,547.88 and 2,773.08

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Solution

The fourth proportional to 9,698.58, 14,547.88 and 2,773.08 is: 4,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.58 : 14,547.88 = 2,773.08 : x
  2. Step 2: Convert to fraction form
    9,698.58/14,547.88 = 2,773.08/x
  3. Step 3: Cross multiply
    9,698.58x = 14,547.88 × 2,773.08
  4. Step 4: Simplify right side
    9,698.58x = 40,342,435.07
  5. Step 5: Solve for x
    x = 40,342,435.07/9,698.58
  6. Step 6: Final answer
    x = 4,159.62

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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.