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Finding the Fourth Proportional to 9,382.90, 14,074.35 and 2,457.40

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Solution

The fourth proportional to 9,382.90, 14,074.35 and 2,457.40 is: 3,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.90 : 14,074.35 = 2,457.40 : x
  2. Step 2: Convert to fraction form
    9,382.90/14,074.35 = 2,457.40/x
  3. Step 3: Cross multiply
    9,382.90x = 14,074.35 × 2,457.40
  4. Step 4: Simplify right side
    9,382.90x = 34,586,307.69
  5. Step 5: Solve for x
    x = 34,586,307.69/9,382.90
  6. Step 6: Final answer
    x = 3,686.10

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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.