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Finding the Fourth Proportional to 9,275.86, 12,816.88 and 7,302.10

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Solution

The fourth proportional to 9,275.86, 12,816.88 and 7,302.10 is: 10,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.86 : 12,816.88 = 7,302.10 : x
  2. Step 2: Convert to fraction form
    9,275.86/12,816.88 = 7,302.10/x
  3. Step 3: Cross multiply
    9,275.86x = 12,816.88 × 7,302.10
  4. Step 4: Simplify right side
    9,275.86x = 93,590,139.45
  5. Step 5: Solve for x
    x = 93,590,139.45/9,275.86
  6. Step 6: Final answer
    x = 10,089.65

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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.