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Finding the Fourth Proportional to 9,527.44, 14,266.40 and 6,575

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Solution

The fourth proportional to 9,527.44, 14,266.40 and 6,575 is: 9,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.44 : 14,266.40 = 6,575 : x
  2. Step 2: Convert to fraction form
    9,527.44/14,266.40 = 6,575/x
  3. Step 3: Cross multiply
    9,527.44x = 14,266.40 × 6,575
  4. Step 4: Simplify right side
    9,527.44x = 93,801,580
  5. Step 5: Solve for x
    x = 93,801,580/9,527.44
  6. Step 6: Final answer
    x = 9,845.41

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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.