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Finding the Fourth Proportional to 9,973.12, 13,762.70 and 5,497.26

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Solution

The fourth proportional to 9,973.12, 13,762.70 and 5,497.26 is: 7,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.12 : 13,762.70 = 5,497.26 : x
  2. Step 2: Convert to fraction form
    9,973.12/13,762.70 = 5,497.26/x
  3. Step 3: Cross multiply
    9,973.12x = 13,762.70 × 5,497.26
  4. Step 4: Simplify right side
    9,973.12x = 75,657,140.20
  5. Step 5: Solve for x
    x = 75,657,140.20/9,973.12
  6. Step 6: Final answer
    x = 7,586.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.