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Finding the Fourth Proportional to 9,465.85, 13,050.74 and 7,758.06

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Solution

The fourth proportional to 9,465.85, 13,050.74 and 7,758.06 is: 10,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.85 : 13,050.74 = 7,758.06 : x
  2. Step 2: Convert to fraction form
    9,465.85/13,050.74 = 7,758.06/x
  3. Step 3: Cross multiply
    9,465.85x = 13,050.74 × 7,758.06
  4. Step 4: Simplify right side
    9,465.85x = 101,248,385.17
  5. Step 5: Solve for x
    x = 101,248,385.17/9,465.85
  6. Step 6: Final answer
    x = 10,696.18

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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.