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Finding the Fourth Proportional to 9,038.45, 12,473.53 and 5,680.02

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Solution

The fourth proportional to 9,038.45, 12,473.53 and 5,680.02 is: 7,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.45 : 12,473.53 = 5,680.02 : x
  2. Step 2: Convert to fraction form
    9,038.45/12,473.53 = 5,680.02/x
  3. Step 3: Cross multiply
    9,038.45x = 12,473.53 × 5,680.02
  4. Step 4: Simplify right side
    9,038.45x = 70,849,899.87
  5. Step 5: Solve for x
    x = 70,849,899.87/9,038.45
  6. Step 6: Final answer
    x = 7,838.72

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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.