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Finding the Fourth Proportional to 9,117.55, 13,666.74 and 3,851.47

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Solution

The fourth proportional to 9,117.55, 13,666.74 and 3,851.47 is: 5,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.55 : 13,666.74 = 3,851.47 : x
  2. Step 2: Convert to fraction form
    9,117.55/13,666.74 = 3,851.47/x
  3. Step 3: Cross multiply
    9,117.55x = 13,666.74 × 3,851.47
  4. Step 4: Simplify right side
    9,117.55x = 52,637,039.11
  5. Step 5: Solve for x
    x = 52,637,039.11/9,117.55
  6. Step 6: Final answer
    x = 5,773.16

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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.