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Finding the Fourth Proportional to 9,534.46, 14,307.06 and 7,448.62

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Solution

The fourth proportional to 9,534.46, 14,307.06 and 7,448.62 is: 11,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.46 : 14,307.06 = 7,448.62 : x
  2. Step 2: Convert to fraction form
    9,534.46/14,307.06 = 7,448.62/x
  3. Step 3: Cross multiply
    9,534.46x = 14,307.06 × 7,448.62
  4. Step 4: Simplify right side
    9,534.46x = 106,567,781.72
  5. Step 5: Solve for x
    x = 106,567,781.72/9,534.46
  6. Step 6: Final answer
    x = 11,177.12

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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.