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Finding the Fourth Proportional to 9,700.87, 14,547.65 and 3,125.29

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Solution

The fourth proportional to 9,700.87, 14,547.65 and 3,125.29 is: 4,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.87 : 14,547.65 = 3,125.29 : x
  2. Step 2: Convert to fraction form
    9,700.87/14,547.65 = 3,125.29/x
  3. Step 3: Cross multiply
    9,700.87x = 14,547.65 × 3,125.29
  4. Step 4: Simplify right side
    9,700.87x = 45,465,625.07
  5. Step 5: Solve for x
    x = 45,465,625.07/9,700.87
  6. Step 6: Final answer
    x = 4,686.76

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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.