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Finding the Fourth Proportional to 6,710.40, 9,281.13 and 5,307.95

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Solution

The fourth proportional to 6,710.40, 9,281.13 and 5,307.95 is: 7,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.40 : 9,281.13 = 5,307.95 : x
  2. Step 2: Convert to fraction form
    6,710.40/9,281.13 = 5,307.95/x
  3. Step 3: Cross multiply
    6,710.40x = 9,281.13 × 5,307.95
  4. Step 4: Simplify right side
    6,710.40x = 49,263,727.58
  5. Step 5: Solve for x
    x = 49,263,727.58/6,710.40
  6. Step 6: Final answer
    x = 7,341.40

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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.