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Finding the Fourth Proportional to 9,700.31, 14,555.93 and 4,770.45

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Solution

The fourth proportional to 9,700.31, 14,555.93 and 4,770.45 is: 7,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.31 : 14,555.93 = 4,770.45 : x
  2. Step 2: Convert to fraction form
    9,700.31/14,555.93 = 4,770.45/x
  3. Step 3: Cross multiply
    9,700.31x = 14,555.93 × 4,770.45
  4. Step 4: Simplify right side
    9,700.31x = 69,438,312.42
  5. Step 5: Solve for x
    x = 69,438,312.42/9,700.31
  6. Step 6: Final answer
    x = 7,158.36

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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.