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Finding the Fourth Proportional to 9,548, 14,323.18 and 2,973.14

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Solution

The fourth proportional to 9,548, 14,323.18 and 2,973.14 is: 4,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548 : 14,323.18 = 2,973.14 : x
  2. Step 2: Convert to fraction form
    9,548/14,323.18 = 2,973.14/x
  3. Step 3: Cross multiply
    9,548x = 14,323.18 × 2,973.14
  4. Step 4: Simplify right side
    9,548x = 42,584,819.39
  5. Step 5: Solve for x
    x = 42,584,819.39/9,548
  6. Step 6: Final answer
    x = 4,460.08

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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.