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Finding the Fourth Proportional to 9,109.48, 13,666.14 and 2,953

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Solution

The fourth proportional to 9,109.48, 13,666.14 and 2,953 is: 4,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.48 : 13,666.14 = 2,953 : x
  2. Step 2: Convert to fraction form
    9,109.48/13,666.14 = 2,953/x
  3. Step 3: Cross multiply
    9,109.48x = 13,666.14 × 2,953
  4. Step 4: Simplify right side
    9,109.48x = 40,356,111.42
  5. Step 5: Solve for x
    x = 40,356,111.42/9,109.48
  6. Step 6: Final answer
    x = 4,430.12

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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.