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Finding the Fourth Proportional to 9,547.95, 14,317.35 and 2,974.17

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Solution

The fourth proportional to 9,547.95, 14,317.35 and 2,974.17 is: 4,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.95 : 14,317.35 = 2,974.17 : x
  2. Step 2: Convert to fraction form
    9,547.95/14,317.35 = 2,974.17/x
  3. Step 3: Cross multiply
    9,547.95x = 14,317.35 × 2,974.17
  4. Step 4: Simplify right side
    9,547.95x = 42,582,232.85
  5. Step 5: Solve for x
    x = 42,582,232.85/9,547.95
  6. Step 6: Final answer
    x = 4,459.83

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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.