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Finding the Fourth Proportional to 9,349.12, 14,030.08 and 3,510.40

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Solution

The fourth proportional to 9,349.12, 14,030.08 and 3,510.40 is: 5,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.12 : 14,030.08 = 3,510.40 : x
  2. Step 2: Convert to fraction form
    9,349.12/14,030.08 = 3,510.40/x
  3. Step 3: Cross multiply
    9,349.12x = 14,030.08 × 3,510.40
  4. Step 4: Simplify right side
    9,349.12x = 49,251,192.83
  5. Step 5: Solve for x
    x = 49,251,192.83/9,349.12
  6. Step 6: Final answer
    x = 5,268.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.