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Finding the Fourth Proportional to 9,700.29, 14,547.94 and 4,076.87

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Solution

The fourth proportional to 9,700.29, 14,547.94 and 4,076.87 is: 6,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.29 : 14,547.94 = 4,076.87 : x
  2. Step 2: Convert to fraction form
    9,700.29/14,547.94 = 4,076.87/x
  3. Step 3: Cross multiply
    9,700.29x = 14,547.94 × 4,076.87
  4. Step 4: Simplify right side
    9,700.29x = 59,309,977.22
  5. Step 5: Solve for x
    x = 59,309,977.22/9,700.29
  6. Step 6: Final answer
    x = 6,114.25

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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.