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Finding the Fourth Proportional to 9,646.72, 13,312.50 and 5,455

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Solution

The fourth proportional to 9,646.72, 13,312.50 and 5,455 is: 7,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.72 : 13,312.50 = 5,455 : x
  2. Step 2: Convert to fraction form
    9,646.72/13,312.50 = 5,455/x
  3. Step 3: Cross multiply
    9,646.72x = 13,312.50 × 5,455
  4. Step 4: Simplify right side
    9,646.72x = 72,619,687.50
  5. Step 5: Solve for x
    x = 72,619,687.50/9,646.72
  6. Step 6: Final answer
    x = 7,527.91

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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.