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Finding the Fourth Proportional to 9,035.84, 13,535.55 and 7,569.72

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Solution

The fourth proportional to 9,035.84, 13,535.55 and 7,569.72 is: 11,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.84 : 13,535.55 = 7,569.72 : x
  2. Step 2: Convert to fraction form
    9,035.84/13,535.55 = 7,569.72/x
  3. Step 3: Cross multiply
    9,035.84x = 13,535.55 × 7,569.72
  4. Step 4: Simplify right side
    9,035.84x = 102,460,323.55
  5. Step 5: Solve for x
    x = 102,460,323.55/9,035.84
  6. Step 6: Final answer
    x = 11,339.32

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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.