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Finding the Fourth Proportional to 9,674.55, 13,347.75 and 5,425.02

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Solution

The fourth proportional to 9,674.55, 13,347.75 and 5,425.02 is: 7,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.55 : 13,347.75 = 5,425.02 : x
  2. Step 2: Convert to fraction form
    9,674.55/13,347.75 = 5,425.02/x
  3. Step 3: Cross multiply
    9,674.55x = 13,347.75 × 5,425.02
  4. Step 4: Simplify right side
    9,674.55x = 72,411,810.71
  5. Step 5: Solve for x
    x = 72,411,810.71/9,674.55
  6. Step 6: Final answer
    x = 7,484.77

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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.