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Finding the Fourth Proportional to 6,897.04, 9,509.02 and 5,011.36

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Solution

The fourth proportional to 6,897.04, 9,509.02 and 5,011.36 is: 6,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.04 : 9,509.02 = 5,011.36 : x
  2. Step 2: Convert to fraction form
    6,897.04/9,509.02 = 5,011.36/x
  3. Step 3: Cross multiply
    6,897.04x = 9,509.02 × 5,011.36
  4. Step 4: Simplify right side
    6,897.04x = 47,653,122.47
  5. Step 5: Solve for x
    x = 47,653,122.47/6,897.04
  6. Step 6: Final answer
    x = 6,909.21

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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.