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Finding the Fourth Proportional to 7,145.40, 9,864.18 and 4,758.60

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Solution

The fourth proportional to 7,145.40, 9,864.18 and 4,758.60 is: 6,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.40 : 9,864.18 = 4,758.60 : x
  2. Step 2: Convert to fraction form
    7,145.40/9,864.18 = 4,758.60/x
  3. Step 3: Cross multiply
    7,145.40x = 9,864.18 × 4,758.60
  4. Step 4: Simplify right side
    7,145.40x = 46,939,686.95
  5. Step 5: Solve for x
    x = 46,939,686.95/7,145.40
  6. Step 6: Final answer
    x = 6,569.22

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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.