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Finding the Fourth Proportional to 9,153.47, 13,700.14 and 6,950.07

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Solution

The fourth proportional to 9,153.47, 13,700.14 and 6,950.07 is: 10,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.47 : 13,700.14 = 6,950.07 : x
  2. Step 2: Convert to fraction form
    9,153.47/13,700.14 = 6,950.07/x
  3. Step 3: Cross multiply
    9,153.47x = 13,700.14 × 6,950.07
  4. Step 4: Simplify right side
    9,153.47x = 95,216,914.63
  5. Step 5: Solve for x
    x = 95,216,914.63/9,153.47
  6. Step 6: Final answer
    x = 10,402.27

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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.