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Finding the Fourth Proportional to 9,700.45, 14,557.04 and 5,321

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Solution

The fourth proportional to 9,700.45, 14,557.04 and 5,321 is: 7,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.45 : 14,557.04 = 5,321 : x
  2. Step 2: Convert to fraction form
    9,700.45/14,557.04 = 5,321/x
  3. Step 3: Cross multiply
    9,700.45x = 14,557.04 × 5,321
  4. Step 4: Simplify right side
    9,700.45x = 77,458,009.84
  5. Step 5: Solve for x
    x = 77,458,009.84/9,700.45
  6. Step 6: Final answer
    x = 7,984.99

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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.