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Finding the Fourth Proportional to 9,465.93, 13,061.79 and 5,688.54

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Solution

The fourth proportional to 9,465.93, 13,061.79 and 5,688.54 is: 7,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.93 : 13,061.79 = 5,688.54 : x
  2. Step 2: Convert to fraction form
    9,465.93/13,061.79 = 5,688.54/x
  3. Step 3: Cross multiply
    9,465.93x = 13,061.79 × 5,688.54
  4. Step 4: Simplify right side
    9,465.93x = 74,302,514.89
  5. Step 5: Solve for x
    x = 74,302,514.89/9,465.93
  6. Step 6: Final answer
    x = 7,849.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.